Pith Number

pith:TA346OO3

pith:2024:TA346OO3QSIYGUCWUQEM4YJ6WR

not attested not anchored not stored refs pending

Entropy, cocycles, and their diagrammatics

Mee Seong Im, Mikhail Khovanov

arxiv:2409.08462 v2 · 2024-09-13 · math.KT · cs.IT · math-ph · math.CT · math.IT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TA346OO3QSIYGUCWUQEM4YJ6WR}

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

Diagrammatics of information

Receipt and verification

First computed	2026-07-05T09:17:47.928439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9837cf39db8491835056a408ce613eb47d5cb6c044588c392319827565fa4abb

Aliases

arxiv: 2409.08462 · arxiv_version: 2409.08462v2 · doi: 10.48550/arxiv.2409.08462 · pith_short_12: TA346OO3QSIY · pith_short_16: TA346OO3QSIYGUCW · pith_short_8: TA346OO3

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/TA346OO3QSIYGUCWUQEM4YJ6WR \
  | 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: 9837cf39db8491835056a408ce613eb47d5cb6c044588c392319827565fa4abb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b39c107fac92105815d4536ee49d7a1ae6f9adce44a74b59bfebb9a35fedfec5",
    "cross_cats_sorted": [
      "cs.IT",
      "math-ph",
      "math.CT",
      "math.IT",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2024-09-13T01:20:34Z",
    "title_canon_sha256": "ad5faf371d473ecb8d93aa48099138f11c3d6f2c0745004b7f7eb45620202841"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.08462",
    "kind": "arxiv",
    "version": 2
  }
}