Pith Number

pith:CT7GQYON

pith:2012:CT7GQYONGNQPWBSAX3HT7JBSPS

not attested not anchored not stored refs pending

Classification of rotations on the torus $\mathbb{T}^2$

Nicolas B\'edaride

arxiv:1205.5093 v1 · 2012-05-23 · math.DS · 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{CT7GQYONGNQPWBSAX3HT7JBSPS}

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	2026-05-18T03:55:02.230041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14fe6861cd3360fb0640becf3fa4327cbc5a18b39bd089b43a51531741638a05

Aliases

arxiv: 1205.5093 · arxiv_version: 1205.5093v1 · doi: 10.48550/arxiv.1205.5093 · pith_short_12: CT7GQYONGNQP · pith_short_16: CT7GQYONGNQPWBSA · pith_short_8: CT7GQYON

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/CT7GQYONGNQPWBSAX3HT7JBSPS \
  | 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: 14fe6861cd3360fb0640becf3fa4327cbc5a18b39bd089b43a51531741638a05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1693d0b2cb1d467a6b0ef261f1933e1e7b8e8b886892ad1401269ff9ee53e8f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-05-23T05:08:56Z",
    "title_canon_sha256": "e3147bf1f46ac4d6f1752fa020ac481a199af485ebb8aa43293bba4345d22da5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5093",
    "kind": "arxiv",
    "version": 1
  }
}