Pith Number

pith:KQPCF2GH

pith:2026:KQPCF2GHIOA7COLNHB25K5CIMG

not attested not anchored not stored refs pending

TIE: Time Interval Encoding for Video Generation over Events

Bo Ye, Fan Cheng, Jian Zhao, Qianyu Peng, Ruili Feng, Shangwen Zhu, Xiaofan Li, Xinyu Cui, Yang Cao, Yiming Li, Zheng-Jun Zha, Zhilei Shu, Zihang Liang

TIE encodes time as intervals rather than points inside diffusion transformers, allowing overlapping events to be represented natively in attention.

arxiv:2605.10543 v2 · 2026-05-11 · cs.CV

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\usepackage{pith}
\pithnumber{KQPCF2GHIOA7COLNHB25K5CIMG}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

TIE is characterized by two basic principles: Temporal Integrability, which requires an event to aggregate positional evidence over its full duration, and Duration Invariance, which removes the trivial bias toward longer intervals. Under a uniform kernel, this characterization yields an efficient closed-form sinc-based solution that preserves the standard attention interface.

C2weakest assumption

That the uniform kernel plus the two stated principles are sufficient to produce a general, artifact-free interval encoding that works across diverse video domains without post-hoc tuning or loss of visual fidelity.

C3one line summary

TIE derives a sinc-based interval encoding from temporal integrability and duration invariance principles, raising temporal constraint satisfaction from 77% to 96% on the OmniEvents dataset while preserving visual quality.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-26T03:05:02.843355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

541e22e8c74381f1396d3875d574486190e5f2a005d7bc5f08cb34e76484381d

Aliases

arxiv: 2605.10543 · arxiv_version: 2605.10543v2 · doi: 10.48550/arxiv.2605.10543 · pith_short_12: KQPCF2GHIOA7 · pith_short_16: KQPCF2GHIOA7COLN · pith_short_8: KQPCF2GH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KQPCF2GHIOA7COLNHB25K5CIMG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 541e22e8c74381f1396d3875d574486190e5f2a005d7bc5f08cb34e76484381d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65990caa515089f542010143bb15666bf7a130520fc4b9b18ac4318492dfe1c5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.CV",
    "submitted_at": "2026-05-11T13:23:14Z",
    "title_canon_sha256": "30e0b2a5bd56908cd61a751df9c1f38086a2311ae88d05093dc40bb17418d1b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.10543",
    "kind": "arxiv",
    "version": 2
  }
}