Pith Number

pith:6DTRAGJP

pith:2018:6DTRAGJP6FD6KO2O57Q2TOFRRL

not attested not anchored not stored refs pending

On the $k$-partition dimension of graphs

Alejandro Estrada-Moreno

arxiv:1805.04966 v2 · 2018-05-13 · 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{6DTRAGJP6FD6KO2O57Q2TOFRRL}

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	2026-05-18T00:05:38.970712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0e710192ff147e53b4eefe1a9b8b18ac5126aa4ec2b7381a6402bc283212b36

Aliases

arxiv: 1805.04966 · arxiv_version: 1805.04966v2 · doi: 10.48550/arxiv.1805.04966 · pith_short_12: 6DTRAGJP6FD6 · pith_short_16: 6DTRAGJP6FD6KO2O · pith_short_8: 6DTRAGJP

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/6DTRAGJP6FD6KO2O57Q2TOFRRL \
  | 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: f0e710192ff147e53b4eefe1a9b8b18ac5126aa4ec2b7381a6402bc283212b36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a5408bdc818fd8d1db3f6890d92135444f0d13d20901a6f8b48eb3bd92e849e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-13T22:33:23Z",
    "title_canon_sha256": "fd5a614eb8f5f6a04e7b3f12a7d84270a912ca2be8a954dc825e51a09e67ae4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.04966",
    "kind": "arxiv",
    "version": 2
  }
}