Pith Number

pith:TU7F6SFM

pith:2015:TU7F6SFMUZYRWCYLEPBLZSRNSC

not attested not anchored not stored refs pending

Rigid actions have zero entropy

Lewis Bowen

arxiv:1507.07981 v2 · 2015-07-28 · math.DS · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TU7F6SFMUZYRWCYLEPBLZSRNSC}

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	2026-05-18T01:36:06.702802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d3e5f48aca6711b0b0b23c2bcca2d90a23f9f197b49cc43813c998f7c678a2b

Aliases

arxiv: 1507.07981 · arxiv_version: 1507.07981v2 · doi: 10.48550/arxiv.1507.07981 · pith_short_12: TU7F6SFMUZYR · pith_short_16: TU7F6SFMUZYRWCYL · pith_short_8: TU7F6SFM

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/TU7F6SFMUZYRWCYLEPBLZSRNSC \
  | 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: 9d3e5f48aca6711b0b0b23c2bcca2d90a23f9f197b49cc43813c998f7c678a2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9af9e65ce3b31d1d7650dbf59a79eedd5f77ae46609feb109d7de1dfcd16a477",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-07-28T22:50:20Z",
    "title_canon_sha256": "2fd1addc1d9f2d6ea31517bea6ef5288cd3aa9269d01640d821b6c201b24358b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07981",
    "kind": "arxiv",
    "version": 2
  }
}