Pith Number

pith:A4R7FF6Y

pith:2013:A4R7FF6YKLQDKIOG4MSNYCYMIT

not attested not anchored not stored refs pending

A Tur\'an-type problem on degree sequence

Xueliang Li, Yongtang Shi

arxiv:1302.1687 v1 · 2013-02-07 · 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{A4R7FF6YKLQDKIOG4MSNYCYMIT}

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	2026-05-18T03:34:15.003115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0723f297d852e03521c6e324dc0b0c44d8ffc35408e5012ca9925dd285b9beaa

Aliases

arxiv: 1302.1687 · arxiv_version: 1302.1687v1 · doi: 10.48550/arxiv.1302.1687 · pith_short_12: A4R7FF6YKLQD · pith_short_16: A4R7FF6YKLQDKIOG · pith_short_8: A4R7FF6Y

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/A4R7FF6YKLQDKIOG4MSNYCYMIT \
  | 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: 0723f297d852e03521c6e324dc0b0c44d8ffc35408e5012ca9925dd285b9beaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc526d38834bafd56658afdc84db7afd822fbbaf2f19de37ab892897bde42ced",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-07T10:07:06Z",
    "title_canon_sha256": "13418243b270f7dc3620ad25c10fc6c0426d65356501f1bc8a3b89b1847c3274"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1687",
    "kind": "arxiv",
    "version": 1
  }
}