Pith Number

pith:U2ARCG5Q

pith:2012:U2ARCG5QGBH5RZJ6XB4VEOPT32

not attested not anchored not stored refs pending

Linear embeddings of graphs and graph limits

Huda Chuangpishit, Jeannette Janssen, Mahya Ghandehari, Matt Hurshman, Nauzer Kalyaniwalla

arxiv:1210.4451 v3 · 2012-10-16 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U2ARCG5QGBH5RZJ6XB4VEOPT32}

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	2026-07-05T01:17:54.049559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a681111bb0304fd8e53eb8795239f3de8fbd0064e4093ba33064893f3a1e4f89

Aliases

arxiv: 1210.4451 · arxiv_version: 1210.4451v3 · doi: 10.48550/arxiv.1210.4451 · pith_short_12: U2ARCG5QGBH5 · pith_short_16: U2ARCG5QGBH5RZJ6 · pith_short_8: U2ARCG5Q

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/U2ARCG5QGBH5RZJ6XB4VEOPT32 \
  | 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: a681111bb0304fd8e53eb8795239f3de8fbd0064e4093ba33064893f3a1e4f89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58d3afbf90ec52a10b3cfba61018d8bd3e5afe302eb68e68a12198cb8960fed5",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-16T15:26:51Z",
    "title_canon_sha256": "2ed8a2a6e2eaaa238b0d1d280eaa6764818bdffda027400163d694e6d99d6544"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4451",
    "kind": "arxiv",
    "version": 3
  }
}