Pith Number

pith:5NAMPT2Q

pith:2026:5NAMPT2QNX53L3GPFSKRADWQ7T

not attested not anchored not stored refs pending

Capability from Access Structure, Not Scale: Lower Bounds and Pre-Registered Tests for Hybrid Sequence Models

Chi Man Vong, Jianlin Chen, Wenhui Chen, Ziyao Lin

arxiv:2607.14144 v1 · 2026-07-14 · cs.AI · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5NAMPT2QNX53L3GPFSKRADWQ7T}

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.

Receipt and verification

First computed	2026-07-17T00:20:53.847537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb40c7cf506dfbb5eccf2c95100ed0fcce64ab1dba87ed17dc886cb053c9bc2d

Aliases

arxiv: 2607.14144 · arxiv_version: 2607.14144v1 · doi: 10.48550/arxiv.2607.14144 · pith_short_12: 5NAMPT2QNX53 · pith_short_16: 5NAMPT2QNX53L3GP · pith_short_8: 5NAMPT2Q

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/5NAMPT2QNX53L3GPFSKRADWQ7T \
  | 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: eb40c7cf506dfbb5eccf2c95100ed0fcce64ab1dba87ed17dc886cb053c9bc2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e595ab93ea1b3ccdf4a2112a0ac3e35f79e1f12c017c30896335c0c34dd0ffd",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-07-14T05:52:12Z",
    "title_canon_sha256": "fa2d2d960dee4fc9564aa2fe53de62ea645d0f58d3679ec0990bfc2919293a36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14144",
    "kind": "arxiv",
    "version": 1
  }
}