Pith Number

pith:74NQ2STQ

pith:2021:74NQ2STQO6PRFRZZMVWLEJM73J

not attested not anchored not stored refs pending

Towards a conjecture of Birmel\'e-Bondy-Reed on the Erd\H{o}s-P\'osa property of long cycles

Chunlei Zu, Jie Ma

arxiv:2112.14065 v1 · 2021-12-28 · 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{74NQ2STQO6PRFRZZMVWLEJM73J}

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	2026-07-05T03:44:18.243102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff1b0d4a70779f12c739656cb2259fda5bef27df85f5b061edb2e1603b20a238

Aliases

arxiv: 2112.14065 · arxiv_version: 2112.14065v1 · doi: 10.48550/arxiv.2112.14065 · pith_short_12: 74NQ2STQO6PR · pith_short_16: 74NQ2STQO6PRFRZZ · pith_short_8: 74NQ2STQ

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/74NQ2STQO6PRFRZZMVWLEJM73J \
  | 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: ff1b0d4a70779f12c739656cb2259fda5bef27df85f5b061edb2e1603b20a238

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cdbc0c15a12d9fa36081f061283d3083f1cba1f4bb131c8b6d533f3ddc25d52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-12-28T09:27:14Z",
    "title_canon_sha256": "05981d316d95223c62d778aeddcf8c53d7293a8f02295b9d49180912f7bee01d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.14065",
    "kind": "arxiv",
    "version": 1
  }
}