Pith Number

pith:VD7ZEX5N

pith:2012:VD7ZEX5NZDBD2WIM3Q3SHPX5XJ

not attested not anchored not stored refs pending

A limit law of almost $l$-partite graphs

Vera Koponen

arxiv:1204.2454 v2 · 2012-04-11 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VD7ZEX5NZDBD2WIM3Q3SHPX5XJ}

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	2026-05-18T03:33:26.118587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8ff925fadc8c23d590cdc3723befdba6ec49257387aeee5c26504a324651ac4

Aliases

arxiv: 1204.2454 · arxiv_version: 1204.2454v2 · doi: 10.48550/arxiv.1204.2454 · pith_short_12: VD7ZEX5NZDBD · pith_short_16: VD7ZEX5NZDBD2WIM · pith_short_8: VD7ZEX5N

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/VD7ZEX5NZDBD2WIM3Q3SHPX5XJ \
  | 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: a8ff925fadc8c23d590cdc3723befdba6ec49257387aeee5c26504a324651ac4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0107ceaebd136abe44c079c0b851a7c671f645c542d52cef033afb55f74d2ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-04-11T14:05:04Z",
    "title_canon_sha256": "4322a9ac9f813a5547d77f2df60ea479622d91a857063328082ad1b071f53417"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2454",
    "kind": "arxiv",
    "version": 2
  }
}