Pith Number

pith:S2RRPTOS

pith:2018:S2RRPTOSJAQCJKX5VUIIRUSAUF

not attested not anchored not stored refs pending

$C_{2k}$-saturated graphs with no short odd cycles

Craig Timmons

arxiv:1810.05772 v1 · 2018-10-13 · 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{S2RRPTOSJAQCJKX5VUIIRUSAUF}

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	2026-05-18T00:03:27.001518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96a317cdd2482024aafdad1088d240a16573dc3ab8af092bf5704b464714f305

Aliases

arxiv: 1810.05772 · arxiv_version: 1810.05772v1 · doi: 10.48550/arxiv.1810.05772 · pith_short_12: S2RRPTOSJAQC · pith_short_16: S2RRPTOSJAQCJKX5 · pith_short_8: S2RRPTOS

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/S2RRPTOSJAQCJKX5VUIIRUSAUF \
  | 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: 96a317cdd2482024aafdad1088d240a16573dc3ab8af092bf5704b464714f305

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a1aabd97223f2e742926a319fa8340d800daa276a2359ac172d974d6d1a67ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-13T00:45:26Z",
    "title_canon_sha256": "56d16f6ada83cd080ac8023b86fe2e5dcfcee72f002816f2182d1b4dd7ec0991"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05772",
    "kind": "arxiv",
    "version": 1
  }
}