Pith Number

pith:BDUVCFDX

pith:2014:BDUVCFDXGFAYEIQ6Z33ZTYZSKF

not attested not anchored not stored refs pending

More on the bipartite decomposition of random graphs

Hao Huang, Noga Alon, Tom Bohman

arxiv:1409.6165 v1 · 2014-09-22 · 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{BDUVCFDXGFAYEIQ6Z33ZTYZSKF}

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	2026-05-18T02:42:13.689572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08e9511477314182221ecef799e332517964a4bcf742fb3968be680b416f4c74

Aliases

arxiv: 1409.6165 · arxiv_version: 1409.6165v1 · doi: 10.48550/arxiv.1409.6165 · pith_short_12: BDUVCFDXGFAY · pith_short_16: BDUVCFDXGFAYEIQ6 · pith_short_8: BDUVCFDX

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/BDUVCFDXGFAYEIQ6Z33ZTYZSKF \
  | 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: 08e9511477314182221ecef799e332517964a4bcf742fb3968be680b416f4c74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c45ee34200d8644611cd5a8753dc663a21f227e6f9db0ded3d228dd0ab94db8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-22T13:20:25Z",
    "title_canon_sha256": "5a5a802d54f79dc3d5373dfc25da41611f147d0deffa434b959f635a05d9ff02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6165",
    "kind": "arxiv",
    "version": 1
  }
}