Pith Number

pith:WW6K2NZT

pith:2024:WW6K2NZTO5KDCGJMQN5VEYA6KS

not attested not anchored not stored refs pending

Normed modules, integral sequences, and integrals with variable upper limits

Miantao Liu, Shengda Liu, Yu-Zhe Liu

arxiv:2411.19904 v2 · 2024-11-29 · math.CT · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WW6K2NZTO5KDCGJMQN5VEYA6KS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Cited by

1 paper in Pith

Normed representations of weight quivers

Receipt and verification

First computed	2026-07-05T10:56:12.768864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5bcad3733775431192c837b52601e548269b811d4c0d8e0aaecafe90df9f406

Aliases

arxiv: 2411.19904 · arxiv_version: 2411.19904v2 · doi: 10.48550/arxiv.2411.19904 · pith_short_12: WW6K2NZTO5KD · pith_short_16: WW6K2NZTO5KDCGJM · pith_short_8: WW6K2NZT

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/WW6K2NZTO5KDCGJMQN5VEYA6KS \
  | 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: b5bcad3733775431192c837b52601e548269b811d4c0d8e0aaecafe90df9f406

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c14932182c7c61b0efb0b4658fe571948316b18eab2cbce336a16125381c2908",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2024-11-29T18:05:45Z",
    "title_canon_sha256": "a2534bc972537bd4b27f17475c4f2ba219e744c5978ec8988e80af665910e9da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.19904",
    "kind": "arxiv",
    "version": 2
  }
}