Pith Number

pith:YRFMP4EM

pith:2010:YRFMP4EM22MH6SR6E5G5ZW32WN

not attested not anchored not stored refs pending

SO(3) Homology of Graphs and Links

Benjamin Cooper, Matt Hogancamp, Vyacheslav Krushkal

arxiv:1012.3672 v1 · 2010-12-16 · math.QA · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YRFMP4EM22MH6SR6E5G5ZW32WN}

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	2026-05-18T02:41:50.622026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c44ac7f08cd6987f4a3e274ddcdb7ab350f3d2af03a0907be94236cb16310d58

Aliases

arxiv: 1012.3672 · arxiv_version: 1012.3672v1 · doi: 10.48550/arxiv.1012.3672 · pith_short_12: YRFMP4EM22MH · pith_short_16: YRFMP4EM22MH6SR6 · pith_short_8: YRFMP4EM

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/YRFMP4EM22MH6SR6E5G5ZW32WN \
  | 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: c44ac7f08cd6987f4a3e274ddcdb7ab350f3d2af03a0907be94236cb16310d58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c1de10dd996e200b7474e70bb30911dac3bdcd1660e74cb6b0517a1871dd30b",
    "cross_cats_sorted": [
      "math.CO",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-12-16T16:51:23Z",
    "title_canon_sha256": "1b23a6eaf1176b9db4fa3ab14949f517c93f1908d0157d10b65e99d896476e79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3672",
    "kind": "arxiv",
    "version": 1
  }
}