Pith Number

pith:OTWMXTKT

pith:2013:OTWMXTKTFYXVKOVAU44JALIWH2

not attested not anchored not stored refs pending

A combinatorial non-commutative Hopf algebra of graphs

A. Tanasa, D. Manchon, G. H. E. Duchamp, L. Foissy, N. Hoang-Nghia

arxiv:1307.3928 v3 · 2013-07-15 · math.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OTWMXTKTFYXVKOVAU44JALIWH2}

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	2026-05-18T02:50:34.034387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74eccbcd532e2f553aa0a738902d163e9b61787ec25af0e09bed8adffceb8ae4

Aliases

arxiv: 1307.3928 · arxiv_version: 1307.3928v3 · doi: 10.48550/arxiv.1307.3928 · pith_short_12: OTWMXTKTFYXV · pith_short_16: OTWMXTKTFYXVKOVA · pith_short_8: OTWMXTKT

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/OTWMXTKTFYXVKOVAU44JALIWH2 \
  | 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: 74eccbcd532e2f553aa0a738902d163e9b61787ec25af0e09bed8adffceb8ae4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85470a3100da22514cbb7cdb45e055e6c0a5e7a012513dd5427e0204b8698e9c",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-15T13:24:14Z",
    "title_canon_sha256": "dbb232a5e4ecf4e4d1038b1b8fa3e6728f77c1e62af5157dbb694434a99bbdbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3928",
    "kind": "arxiv",
    "version": 3
  }
}