Pith Number

pith:UPD6CRX6

pith:2012:UPD6CRX6OXCGEOPBXEWQQEDFIY

not attested not anchored not stored refs pending

Fractional Dehn twists in knot theory and contact topology

Rachel Roberts, William H. Kazez

arxiv:1201.5290 v4 · 2012-01-25 · 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{UPD6CRX6OXCGEOPBXEWQQEDFIY}

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	2026-05-18T02:41:43.401942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3c7e146fe75c46239e1b92d08106546364e5cdfff074a56144ff8d405d8c30f

Aliases

arxiv: 1201.5290 · arxiv_version: 1201.5290v4 · doi: 10.48550/arxiv.1201.5290 · pith_short_12: UPD6CRX6OXCG · pith_short_16: UPD6CRX6OXCGEOPB · pith_short_8: UPD6CRX6

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/UPD6CRX6OXCGEOPBXEWQQEDFIY \
  | 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: a3c7e146fe75c46239e1b92d08106546364e5cdfff074a56144ff8d405d8c30f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4b5a0d2eda1a1d9bcff62e8eaa69a3523ad028dce325abbfce01f7207baea54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-01-25T14:57:40Z",
    "title_canon_sha256": "bde2ddd263e0472b52f809aa13f4b7c5205fb4d69d050d2bc0885309ee1ce830"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5290",
    "kind": "arxiv",
    "version": 4
  }
}