Pith Number

pith:TJP3TH3X

pith:2024:TJP3TH3X6I6CIP6CIKHCOHOWK7

not attested not anchored not stored refs pending

The Cellular Homology of Digraphs

Shing-Tung Yau, Xinxing Tang

arxiv:2402.05682 v2 · 2024-02-08 · math.CO · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TJP3TH3X6I6CIP6CIKHCOHOWK7}

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

Primitive path homology

Receipt and verification

First computed	2026-07-05T11:07:01.533584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a5fb99f77f23c243fc2428e271dd657d1e0b87c131d07d5b9091303206418a6

Aliases

arxiv: 2402.05682 · arxiv_version: 2402.05682v2 · doi: 10.48550/arxiv.2402.05682 · pith_short_12: TJP3TH3X6I6C · pith_short_16: TJP3TH3X6I6CIP6C · pith_short_8: TJP3TH3X

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/TJP3TH3X6I6CIP6CIKHCOHOWK7 \
  | 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: 9a5fb99f77f23c243fc2428e271dd657d1e0b87c131d07d5b9091303206418a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea58fbc725ce85be592ee29ebdb92000e099a149ca1ec3f394bf4b14d2e79dfd",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-02-08T13:59:27Z",
    "title_canon_sha256": "b3bc26eccb968713e1829816b717e2fe4aa2056c134cb3223b6ae52983b445e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.05682",
    "kind": "arxiv",
    "version": 2
  }
}