Pith Number

pith:34BMLBAN

pith:2013:34BMLBANLRCE7LNYPXYFDDN747

not attested not anchored not stored refs pending

On edge-sets of bicliques in graphs

Juraj Stacho, Marina Groshaus, Pavol Hell

arxiv:1307.4629 v1 · 2013-07-17 · 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{34BMLBANLRCE7LNYPXYFDDN747}

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	2026-05-18T03:18:17.478380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df02c5840d5c444fadb87df0518dbfe7dd57dfc6c18343d21f2efbf627ea4a82

Aliases

arxiv: 1307.4629 · arxiv_version: 1307.4629v1 · doi: 10.48550/arxiv.1307.4629 · pith_short_12: 34BMLBANLRCE · pith_short_16: 34BMLBANLRCE7LNY · pith_short_8: 34BMLBAN

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/34BMLBANLRCE7LNYPXYFDDN747 \
  | 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: df02c5840d5c444fadb87df0518dbfe7dd57dfc6c18343d21f2efbf627ea4a82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "235553f95c046f9e2b1c6ee9062642facb26438d97408b4152519ffded046244",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-17T13:44:58Z",
    "title_canon_sha256": "c50028a2c060c953624695153c5402f4a1414e777ed11e89e51387da4e04047f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4629",
    "kind": "arxiv",
    "version": 1
  }
}