Pith Number

pith:JPRBNC3U

pith:2023:JPRBNC3U44OUJUNN2H7KLKLVFB

not attested not anchored not stored refs pending

Strongly common graphs with odd girth are cycles

Leo Versteegen

arxiv:2305.10903 v1 · 2023-05-18 · 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{JPRBNC3U44OUJUNN2H7KLKLVFB}

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	2026-07-05T06:11:28.011253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4be2168b74e71d44d1add1fea5a975286e32e8b48fe70205d9317b7c4be296c9

Aliases

arxiv: 2305.10903 · arxiv_version: 2305.10903v1 · doi: 10.48550/arxiv.2305.10903 · pith_short_12: JPRBNC3U44OU · pith_short_16: JPRBNC3U44OUJUNN · pith_short_8: JPRBNC3U

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/JPRBNC3U44OUJUNN2H7KLKLVFB \
  | 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: 4be2168b74e71d44d1add1fea5a975286e32e8b48fe70205d9317b7c4be296c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5095db23b0a260b0fe26b6d86e896c237c6cfd91311f8a290021ad2592e2b086",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-05-18T12:02:29Z",
    "title_canon_sha256": "f12f07210336d44282a6033cc57258ab17747bb91b6b4af6ac6900ae296f3ac4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.10903",
    "kind": "arxiv",
    "version": 1
  }
}