Pith Number

pith:SNH7OY2J

pith:2012:SNH7OY2JL6TKPHV35BETQSYTHW

not attested not anchored not stored refs pending

Geometry and entropy of generalized rotation sets

Christian Wolf, Tamara Kucherenko

arxiv:1210.0135 v1 · 2012-09-29 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SNH7OY2JL6TKPHV35BETQSYTHW}

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	2026-05-18T03:44:23.223654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

934ff763495fa6a79ebbe849384b133dbd4b0a952612041803c3eaf6fa168b19

Aliases

arxiv: 1210.0135 · arxiv_version: 1210.0135v1 · doi: 10.48550/arxiv.1210.0135 · pith_short_12: SNH7OY2JL6TK · pith_short_16: SNH7OY2JL6TKPHV3 · pith_short_8: SNH7OY2J

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/SNH7OY2JL6TKPHV35BETQSYTHW \
  | 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: 934ff763495fa6a79ebbe849384b133dbd4b0a952612041803c3eaf6fa168b19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b663c09d6a68b0e4950afaeedb40d61461edfc2119244012372eae199b8f7711",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-09-29T17:27:18Z",
    "title_canon_sha256": "e7d06cf67f78e59b47ec1268a28351a651c798cc71411f595245be6e72a1f953"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0135",
    "kind": "arxiv",
    "version": 1
  }
}