Pith Number

pith:O5RY46DK

pith:2011:O5RY46DKWONLORQNVZBZVIPLLD

not attested not anchored not stored refs pending

Extreme tenacity of graphs with given order and size

Chuandong Xu, Shenggui Zhang, T.C.E. Cheng, Yinkui Li

arxiv:1109.4673 v1 · 2011-09-21 · 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{O5RY46DKWONLORQNVZBZVIPLLD}

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	2026-05-18T04:12:33.187459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77638e786ab39ab7460dae439aa1eb58d3f367aec123d5031aedd69a5b91e0d1

Aliases

arxiv: 1109.4673 · arxiv_version: 1109.4673v1 · doi: 10.48550/arxiv.1109.4673 · pith_short_12: O5RY46DKWONL · pith_short_16: O5RY46DKWONLORQN · pith_short_8: O5RY46DK

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/O5RY46DKWONLORQNVZBZVIPLLD \
  | 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: 77638e786ab39ab7460dae439aa1eb58d3f367aec123d5031aedd69a5b91e0d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d5f811e7ede334a06a565fad1b500ec421382c42836469c3535d601ca6a6eba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-21T23:36:34Z",
    "title_canon_sha256": "63836b98f0f231f67ec87fa7effeabfc8394ad214ec3dd1c21dd598ea0235c55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4673",
    "kind": "arxiv",
    "version": 1
  }
}