Pith Number

pith:GOHVIQLI

pith:2015:GOHVIQLIWGGKOSYH5KA4PXCXQ6

not attested not anchored not stored refs pending

The Hopf algebra of finite topologies and mould composition

Dominique Manchon, Fr\'ed\'eric Fauvet, Lo\"ic Foissy

arxiv:1503.03820 v2 · 2015-03-12 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GOHVIQLIWGGKOSYH5KA4PXCXQ6}

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	2026-05-18T02:23:25.817862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

338f544168b18ca74b07ea81c7dc5787a5f5e48097d9bcf37f80973ee2cab8f4

Aliases

arxiv: 1503.03820 · arxiv_version: 1503.03820v2 · doi: 10.48550/arxiv.1503.03820 · pith_short_12: GOHVIQLIWGGK · pith_short_16: GOHVIQLIWGGKOSYH · pith_short_8: GOHVIQLI

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/GOHVIQLIWGGKOSYH5KA4PXCXQ6 \
  | 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: 338f544168b18ca74b07ea81c7dc5787a5f5e48097d9bcf37f80973ee2cab8f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "928d8a183d13c46ef52203a481f5462408567a753052d0186b9f30d3ad339acd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-12T17:21:46Z",
    "title_canon_sha256": "962dc4aa274227d911f20a456dbf04fa3bb1816427c63f227df4f8a6f7ae0eb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03820",
    "kind": "arxiv",
    "version": 2
  }
}