Pith Number

pith:H2UJYGJ6

pith:2023:H2UJYGJ65VQPUDBNJYHPL4RZYD

not attested not anchored not stored refs pending

Four-vertex traces of finite sets

Jian Wang, Peter Frankl

arxiv:2301.05830 v1 · 2023-01-14 · 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{H2UJYGJ65VQPUDBNJYHPL4RZYD}

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	2026-07-05T05:33:24.576273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ea89c193eed60fa0c2d4e0ef5f239c0d2c227b7819dcf0f883f4e2211e9e9bc

Aliases

arxiv: 2301.05830 · arxiv_version: 2301.05830v1 · doi: 10.48550/arxiv.2301.05830 · pith_short_12: H2UJYGJ65VQP · pith_short_16: H2UJYGJ65VQPUDBN · pith_short_8: H2UJYGJ6

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/H2UJYGJ65VQPUDBNJYHPL4RZYD \
  | 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: 3ea89c193eed60fa0c2d4e0ef5f239c0d2c227b7819dcf0f883f4e2211e9e9bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f03dbe75966eded55544da517cd58bd041254c83b51ba8687b6553570fd4359",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-01-14T06:28:13Z",
    "title_canon_sha256": "1859e1b6e72730afdc2e66bc509e6b50745dbb85eb72bbaee357e4d310fa46eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.05830",
    "kind": "arxiv",
    "version": 1
  }
}