Pith Number

pith:TV72AISH

pith:2013:TV72AISHKJ4OFUDJWYE2UOOO3Y

not attested not anchored not stored refs pending

Exotic iterated Dehn twists

Paul Seidel

arxiv:1305.4615 v7 · 2013-05-20 · math.SG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TV72AISHKJ4OFUDJWYE2UOOO3Y}

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	2026-05-18T02:03:38.287239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d7fa022475278e2d069b609aa39cede3fe6afe419eca9f87878d852f2a74982

Aliases

arxiv: 1305.4615 · arxiv_version: 1305.4615v7 · doi: 10.48550/arxiv.1305.4615 · pith_short_12: TV72AISHKJ4O · pith_short_16: TV72AISHKJ4OFUDJ · pith_short_8: TV72AISH

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/TV72AISHKJ4OFUDJWYE2UOOO3Y \
  | 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: 9d7fa022475278e2d069b609aa39cede3fe6afe419eca9f87878d852f2a74982

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fc2cd66f99c31c8aaa141009d69bcd53d7e9636b6d7eae4136519cdc3c0b86c",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-05-20T19:28:57Z",
    "title_canon_sha256": "efb46f5e6b0e400a57c5a171faf0ec6b84ff6ef50a32e94291c5f9f27eaa5473"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4615",
    "kind": "arxiv",
    "version": 7
  }
}