Pith Number

pith:CR7NX3FI

pith:2012:CR7NX3FIL7K3ZAFK7SYIHAKLEF

not attested not anchored not stored refs pending

The extremal genus embedding of graphs

Guanghua Dong, Han Ren, Hao Wu, Ning Wang

arxiv:1203.0864 v1 · 2012-03-05 · 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{CR7NX3FIL7K3ZAFK7SYIHAKLEF}

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	2026-05-18T04:00:50.308704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

147edbeca85fd5bc80aafcb083814b216c6ad7645a313fcfec94de57efa641a6

Aliases

arxiv: 1203.0864 · arxiv_version: 1203.0864v1 · doi: 10.48550/arxiv.1203.0864 · pith_short_12: CR7NX3FIL7K3 · pith_short_16: CR7NX3FIL7K3ZAFK · pith_short_8: CR7NX3FI

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/CR7NX3FIL7K3ZAFK7SYIHAKLEF \
  | 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: 147edbeca85fd5bc80aafcb083814b216c6ad7645a313fcfec94de57efa641a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7ac7c151a4ca9afb509de31193a596224cb3cd4bc3c445c1bf0a199066a4695",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-05T11:20:00Z",
    "title_canon_sha256": "b28f588e054694473f5ee0d1d61099969c4c9c4d81cd7556a534db30da99e662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0864",
    "kind": "arxiv",
    "version": 1
  }
}