Pith Number

pith:FB46A4EK

pith:2017:FB46A4EKA6N6KWV7BKRIAIMITW

not attested not anchored not stored refs pending

Odd holes in bull-free graphs

Maria Chudnovsky, Vaidy Sivaraman

arxiv:1704.04262 v1 · 2017-04-13 · 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{FB46A4EKA6N6KWV7BKRIAIMITW}

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	2026-05-18T00:46:22.023073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2879e0708a079be55abf0aa28021889dbf0f3045fd2436a5e8f45cd45eb66a4c

Aliases

arxiv: 1704.04262 · arxiv_version: 1704.04262v1 · doi: 10.48550/arxiv.1704.04262 · pith_short_12: FB46A4EKA6N6 · pith_short_16: FB46A4EKA6N6KWV7 · pith_short_8: FB46A4EK

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/FB46A4EKA6N6KWV7BKRIAIMITW \
  | 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: 2879e0708a079be55abf0aa28021889dbf0f3045fd2436a5e8f45cd45eb66a4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c210038fd59420dd95be1287fbde86360c722a527ca254a6e015ed00bbe4f92",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-13T19:25:48Z",
    "title_canon_sha256": "35f513217b48f56ca27684ecfd6ed86ba271206a35376e09686be08e570f9a36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04262",
    "kind": "arxiv",
    "version": 1
  }
}