Pith Number

pith:3FZMLMVL

pith:2009:3FZMLMVLWTPRE5VHHUAZPVMT3X

not attested not anchored not stored refs pending

Identities among relations for higher-dimensional rewriting systems

Philippe Malbos, Yves Guiraud

arxiv:0910.4538 v2 · 2009-10-23 · math.CT · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3FZMLMVLWTPRE5VHHUAZPVMT3X}

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	2026-05-18T04:22:11.565010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d972c5b2abb4df1276a73d0197d593ddc8cf0e3ed66466510292f54d882797c6

Aliases

arxiv: 0910.4538 · arxiv_version: 0910.4538v2 · doi: 10.48550/arxiv.0910.4538 · pith_short_12: 3FZMLMVLWTPR · pith_short_16: 3FZMLMVLWTPRE5VH · pith_short_8: 3FZMLMVL

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/3FZMLMVLWTPRE5VHHUAZPVMT3X \
  | 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: d972c5b2abb4df1276a73d0197d593ddc8cf0e3ed66466510292f54d882797c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bf1baa2f1671744d3ca5b4433a12b6bec97a8d5b3906e2b06f5286dbe8f90ae",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2009-10-23T15:55:22Z",
    "title_canon_sha256": "e328b998f0c207200f8f9bc5a8c3ca7a0aa67809609a4179e19778677596da40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4538",
    "kind": "arxiv",
    "version": 2
  }
}