Pith Number

pith:FJOEMULN

pith:2015:FJOEMULNTVDN25TRG77TYXCWZ7

not attested not anchored not stored refs pending

Polyhedral studies of vertex coloring problems: The asymmetric representatives formulation

Annegret Wagler, Diego Delle Donne, Javier Marenco, Ricardo C. Corr\^ea, Victor Campos

arxiv:1509.02485 v1 · 2015-08-28 · 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{FJOEMULNTVDN25TRG77TYXCWZ7}

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	2026-05-18T01:33:40.811081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a5c46516d9d46dd767137ff3c5c56cfd7a9ab8fc5a4263b589962d0dffe8816

Aliases

arxiv: 1509.02485 · arxiv_version: 1509.02485v1 · doi: 10.48550/arxiv.1509.02485 · pith_short_12: FJOEMULNTVDN · pith_short_16: FJOEMULNTVDN25TR · pith_short_8: FJOEMULN

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/FJOEMULNTVDN25TRG77TYXCWZ7 \
  | 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: 2a5c46516d9d46dd767137ff3c5c56cfd7a9ab8fc5a4263b589962d0dffe8816

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e277551eed4c91f450054100ac91902d10cd450f0f52f12dab008603694ed869",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-28T14:38:55Z",
    "title_canon_sha256": "81598975a71265c34192c9c6ce7c0de582778925f27371b427286dedbe3a2783"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02485",
    "kind": "arxiv",
    "version": 1
  }
}