Pith Number

pith:Z7WUAT2U

pith:2010:Z7WUAT2ULZBPHP2LRVSOXOSU3U

not attested not anchored not stored refs pending

A new periodicity concept for time scales

Murat Ad{\i}var

arxiv:1012.2002 v3 · 2010-12-09 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7WUAT2ULZBPHP2LRVSOXOSU3U}

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	2026-05-18T04:05:16.541698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfed404f545e42f3bf4b8d64ebba54dd23c1d77616c1ed8776e6c9b5952d192f

Aliases

arxiv: 1012.2002 · arxiv_version: 1012.2002v3 · doi: 10.48550/arxiv.1012.2002 · pith_short_12: Z7WUAT2ULZBP · pith_short_16: Z7WUAT2ULZBPHP2L · pith_short_8: Z7WUAT2U

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/Z7WUAT2ULZBPHP2LRVSOXOSU3U \
  | 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: cfed404f545e42f3bf4b8d64ebba54dd23c1d77616c1ed8776e6c9b5952d192f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "105c11d0c5536c4f16698efec7ba9bc14fb034c9d8e00eeda827456473ae27a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-12-09T13:46:39Z",
    "title_canon_sha256": "f8f228dfeb1e91d805cc927009b0aed87c26c85511e47623456b347eaff796aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2002",
    "kind": "arxiv",
    "version": 3
  }
}