Pith Number

pith:ZW6ZKKZ7

pith:2015:ZW6ZKKZ7LDOLBE5NE7353TNFWB

not attested not anchored not stored refs pending

The number of atoms in an atomic domain

Paul Pollack, Pete L. Clark, Saurabh Gosavi

arxiv:1512.05024 v1 · 2015-12-16 · math.AC · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZW6ZKKZ7LDOLBE5NE7353TNFWB}

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	2026-05-18T01:24:13.711509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdbd952b3f58dcb093ad27f7ddcda5b05e34f700e11598014736a510cd427be1

Aliases

arxiv: 1512.05024 · arxiv_version: 1512.05024v1 · doi: 10.48550/arxiv.1512.05024 · pith_short_12: ZW6ZKKZ7LDOL · pith_short_16: ZW6ZKKZ7LDOLBE5N · pith_short_8: ZW6ZKKZ7

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/ZW6ZKKZ7LDOLBE5NE7353TNFWB \
  | 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: cdbd952b3f58dcb093ad27f7ddcda5b05e34f700e11598014736a510cd427be1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1ddaa8aa04e02ee8875cafe9756fcce517b728afbb94b60cafaceb10ee6f4d7",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-12-16T02:03:20Z",
    "title_canon_sha256": "b10592ede668d2a879d4ef8a4ac9dcd8aa837141d66af5d5512767bf2c01e818"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05024",
    "kind": "arxiv",
    "version": 1
  }
}