Pith Number

pith:5ISVCRRA

pith:2026:5ISVCRRA66OR5F4CLZREMGLRSL

not attested not anchored not stored refs pending

On graphs without cycles of length $0$ modulo $3$ or $4$ modulo $6$

Takahiro Ueoro

arxiv:2608.06698 v1 · 2026-08-07 · 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{5ISVCRRA66OR5F4CLZREMGLRSL}

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	2026-08-10T01:11:44.632580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea25514620f79d1e97825e6246197192c145240a41e9082077757d9878039bfd

Aliases

arxiv: 2608.06698 · arxiv_version: 2608.06698v1 · doi: 10.48550/arxiv.2608.06698 · pith_short_12: 5ISVCRRA66OR · pith_short_16: 5ISVCRRA66OR5F4C · pith_short_8: 5ISVCRRA

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/5ISVCRRA66OR5F4CLZREMGLRSL \
  | 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: ea25514620f79d1e97825e6246197192c145240a41e9082077757d9878039bfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "974f8eb4478efc873d81f3df6dfcf603993504ca0a136fae62bcbc6a754aa3a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-07T01:52:08Z",
    "title_canon_sha256": "44c3faec7b8440de52c58b69de55c2e7cbc914b561ffd2d4e1497707f2b5e041"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06698",
    "kind": "arxiv",
    "version": 1
  }
}