Pith Number

pith:SP3JXOFD

pith:2016:SP3JXOFD7U4ONPKNK36TXBGQP2

not attested not anchored not stored refs pending

Rationality in map and hypermap enumeration by genus

M. Kazarian, P. Zograf

arxiv:1609.05493 v1 · 2016-09-18 · 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{SP3JXOFD7U4ONPKNK36TXBGQP2}

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	2026-05-18T01:04:26.248175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93f69bb8a3fd38e6bd4d56fd3b84d07eb4cb41e4d8d30ead47aa025de6bbe0d3

Aliases

arxiv: 1609.05493 · arxiv_version: 1609.05493v1 · doi: 10.48550/arxiv.1609.05493 · pith_short_12: SP3JXOFD7U4O · pith_short_16: SP3JXOFD7U4ONPKN · pith_short_8: SP3JXOFD

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/SP3JXOFD7U4ONPKNK36TXBGQP2 \
  | 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: 93f69bb8a3fd38e6bd4d56fd3b84d07eb4cb41e4d8d30ead47aa025de6bbe0d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b958fda5eb9733b1a5769765712179f2d61340f148251d43882527886ff6db2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-18T14:32:25Z",
    "title_canon_sha256": "1dd36830b6b2999edee542e1b8d1df51937689526457ae4bb00929eac62866f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05493",
    "kind": "arxiv",
    "version": 1
  }
}