Pith Number

pith:OB4MBBGT

pith:2013:OB4MBBGTEGQED7QGZNFBMHCO45

not attested not anchored not stored refs pending

On the maximum order of graphs embedded in surfaces

David R. Wood, Eran Nevo, Guillermo Pineda-Villavicencio

arxiv:1312.1753 v2 · 2013-12-06 · 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{OB4MBBGTEGQED7QGZNFBMHCO45}

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	2026-05-18T01:24:33.429067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7078c084d321a041fe06cb4a161c4ee751ea92a362981e6d325242a6bac69416

Aliases

arxiv: 1312.1753 · arxiv_version: 1312.1753v2 · doi: 10.48550/arxiv.1312.1753 · pith_short_12: OB4MBBGTEGQE · pith_short_16: OB4MBBGTEGQED7QG · pith_short_8: OB4MBBGT

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/OB4MBBGTEGQED7QGZNFBMHCO45 \
  | 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: 7078c084d321a041fe06cb4a161c4ee751ea92a362981e6d325242a6bac69416

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e6c8c5d1602b659c37fe5c5111e2fab7843499fcbbcded7734b79c6ce7fd3dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-06T02:24:40Z",
    "title_canon_sha256": "223a622490e4ccde73948a1e6d03a4993852b3521a9955df9100738265605efb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1753",
    "kind": "arxiv",
    "version": 2
  }
}