Pith Number

pith:CUIJLZMQ

pith:2024:CUIJLZMQ7V4GGQYPOPSM6F5RRM

not attested not anchored not stored refs pending

Cover numbers by certain graph families

M\'arton Marits

arxiv:2412.08980 v2 · 2024-12-12 · 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{CUIJLZMQ7V4GGQYPOPSM6F5RRM}

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.

Cited by

1 paper in Pith

Boolean combinations of graphs

Receipt and verification

First computed	2026-07-05T10:17:52.117654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

151095e590fd7863430f73e4cf17b18b1a455722a0ca849b671cce83e9caecc0

Aliases

arxiv: 2412.08980 · arxiv_version: 2412.08980v2 · doi: 10.48550/arxiv.2412.08980 · pith_short_12: CUIJLZMQ7V4G · pith_short_16: CUIJLZMQ7V4GGQYP · pith_short_8: CUIJLZMQ

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/CUIJLZMQ7V4GGQYPOPSM6F5RRM \
  | 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: 151095e590fd7863430f73e4cf17b18b1a455722a0ca849b671cce83e9caecc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a65f78515eedcc231ba8bcd32abc84b3222e4b2cc1f84062e26c4704276c353",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-12T06:26:56Z",
    "title_canon_sha256": "cdbdc7ae47503111ed03bf695a66882b5b34c4f916fa4c8d6d71892d9d1e0e1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.08980",
    "kind": "arxiv",
    "version": 2
  }
}