Pith Number

pith:DJTNACKW

pith:2009:DJTNACKWUDNVSKGPJYLK66WATY

not attested not anchored not stored refs pending

On the Chudnovsky-Seymour-Sullivan Conjecture on Cycles in Triangle-free Digraphs

Dan Liu, Jian Shen, Kevin Chen, Sean Karson

arxiv:0909.2468 v1 · 2009-09-14 · 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{DJTNACKWUDNVSKGPJYLK66WATY}

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	2026-07-04T15:49:33.567351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a66d00956a0db5928cf4e16af7ac09e2ea0262bbc025a95a66a911a8199cd6e

Aliases

arxiv: 0909.2468 · arxiv_version: 0909.2468v1 · doi: 10.48550/arxiv.0909.2468 · pith_short_12: DJTNACKWUDNV · pith_short_16: DJTNACKWUDNVSKGP · pith_short_8: DJTNACKW

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/DJTNACKWUDNVSKGPJYLK66WATY \
  | 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: 1a66d00956a0db5928cf4e16af7ac09e2ea0262bbc025a95a66a911a8199cd6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cca45fde1eb16437ec9cb05788c8e9fbe385fed3b60f1c614365c61e47d67f9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-09-14T05:41:00Z",
    "title_canon_sha256": "aab1358ccd22cbe7f7b69e0c0378b60d4d1b3f5b53f78a744b142a632fc1dd21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2468",
    "kind": "arxiv",
    "version": 1
  }
}