Pith Number

pith:L4NNBTFA

pith:2013:L4NNBTFAGU7JNFVXZP6GIGEBFJ

not attested not anchored not stored refs pending

A note on irreducible maps with several boundaries

E. Guitter, J. Bouttier

arxiv:1305.4816 v1 · 2013-05-21 · 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{L4NNBTFAGU7JNFVXZP6GIGEBFJ}

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	2026-05-18T01:36:39.104881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f1ad0cca0353e9696b7cbfc6418812a6dc5445409ad573c413f5480feada1b9

Aliases

arxiv: 1305.4816 · arxiv_version: 1305.4816v1 · doi: 10.48550/arxiv.1305.4816 · pith_short_12: L4NNBTFAGU7J · pith_short_16: L4NNBTFAGU7JNFVX · pith_short_8: L4NNBTFA

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/L4NNBTFAGU7JNFVXZP6GIGEBFJ \
  | 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: 5f1ad0cca0353e9696b7cbfc6418812a6dc5445409ad573c413f5480feada1b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ceda2649c2d6d1f864cc539412be8ca99a76816eec5a1bce2ec97549bea41db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-21T13:42:05Z",
    "title_canon_sha256": "2a00c16c4303a19854999f09fed1936d68843fe23c2e5d43bfd24348428cad29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4816",
    "kind": "arxiv",
    "version": 1
  }
}