Pith Number

pith:ANEEEPXH

pith:2024:ANEEEPXHG4WJ62YMS5M4PKTSUF

not attested not anchored not stored refs pending

Separating the edges of a graph by cycles and by subdivisions of $K_4$

F\'abio Botler, T\'assio Naia

arxiv:2407.02102 v1 · 2024-07-02 · 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{ANEEEPXHG4WJ62YMS5M4PKTSUF}

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	2026-07-05T08:39:10.112959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0348423ee7372c9f6b0c9759c7aa72a161ab9f5021e37663b1cc91ff45af3dde

Aliases

arxiv: 2407.02102 · arxiv_version: 2407.02102v1 · doi: 10.48550/arxiv.2407.02102 · pith_short_12: ANEEEPXHG4WJ · pith_short_16: ANEEEPXHG4WJ62YM · pith_short_8: ANEEEPXH

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/ANEEEPXHG4WJ62YMS5M4PKTSUF \
  | 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: 0348423ee7372c9f6b0c9759c7aa72a161ab9f5021e37663b1cc91ff45af3dde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "125988d3830e1a8f6763657c517a5d2c65be07fdfe220bb57385a0ca2120e8d7",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-07-02T09:40:20Z",
    "title_canon_sha256": "4752db4b6d452da0b370b0a8615adf0175c3bbd27b0230ecaf27da9773955524"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.02102",
    "kind": "arxiv",
    "version": 1
  }
}