Pith Number

pith:3W2RAFM7

pith:2023:3W2RAFM7EC3CJHBMWX3PFJ5M5Z

not attested not anchored not stored refs pending

Tiling dense hypergraphs

Richard Lang

arxiv:2308.12281 v3 · 2023-08-23 · 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{3W2RAFM7EC3CJHBMWX3PFJ5M5Z}

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	2026-06-01T02:03:17.184572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddb510159f20b6249c2cb5f6f2a7acee5f8a47301971822b6c8a0b3953ebf6ec

Aliases

arxiv: 2308.12281 · arxiv_version: 2308.12281v3 · doi: 10.48550/arxiv.2308.12281 · pith_short_12: 3W2RAFM7EC3C · pith_short_16: 3W2RAFM7EC3CJHBM · pith_short_8: 3W2RAFM7

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/3W2RAFM7EC3CJHBMWX3PFJ5M5Z \
  | 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: ddb510159f20b6249c2cb5f6f2a7acee5f8a47301971822b6c8a0b3953ebf6ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3508141891d70704096a35d855c67999801cc0d6431d5da37e375db9e930fc10",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-08-23T17:54:38Z",
    "title_canon_sha256": "6c0afe6625f24710ae12f65ea9819270abd469e24525586d7ea9609a58de5140"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.12281",
    "kind": "arxiv",
    "version": 3
  }
}