Pith Number

pith:NKUL7SRA

pith:2015:NKUL7SRAL46P4JTLVHAHEA5RON

not attested not anchored not stored refs pending

Extremal graph for intersecting odd cycles

Boyuan Liu, Xinmin Hou, Yu Qiu

arxiv:1510.08373 v1 · 2015-10-28 · 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{NKUL7SRAL46P4JTLVHAHEA5RON}

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	2026-05-18T01:28:36.229004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aa8bfca205f3cfe266ba9c07203b1736e83520eaab444788f66ebe66926d870

Aliases

arxiv: 1510.08373 · arxiv_version: 1510.08373v1 · doi: 10.48550/arxiv.1510.08373 · pith_short_12: NKUL7SRAL46P · pith_short_16: NKUL7SRAL46P4JTL · pith_short_8: NKUL7SRA

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/NKUL7SRAL46P4JTLVHAHEA5RON \
  | 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: 6aa8bfca205f3cfe266ba9c07203b1736e83520eaab444788f66ebe66926d870

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88ac717b5e8b195623d8ad16a2a57565f0c9840eb37a97abbb9ab6312f15812a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-28T16:39:07Z",
    "title_canon_sha256": "67486eb87781496125b50284fbbf564bf0da2ddbe0d5b70a2c056a93c4c66bb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08373",
    "kind": "arxiv",
    "version": 1
  }
}