Pith Number

pith:RJ53JQWE

pith:2010:RJ53JQWERX45ZWVDFST6UBP4JE

not attested not anchored not stored refs pending

The logarithms of Dehn twists

Nariya Kawazumi, Yusuke Kuno

arxiv:1008.5017 v1 · 2010-08-30 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJ53JQWERX45ZWVDFST6UBP4JE}

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	2026-05-18T04:41:37.316826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a7bb4c2c48df9dcdaa32ca7ea05fc4906fb4b06004942f2435b03bd14f7819a

Aliases

arxiv: 1008.5017 · arxiv_version: 1008.5017v1 · doi: 10.48550/arxiv.1008.5017 · pith_short_12: RJ53JQWERX45 · pith_short_16: RJ53JQWERX45ZWVD · pith_short_8: RJ53JQWE

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/RJ53JQWERX45ZWVDFST6UBP4JE \
  | 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: 8a7bb4c2c48df9dcdaa32ca7ea05fc4906fb4b06004942f2435b03bd14f7819a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "479202b1c983c9aac042dacb3737b4777a46cb82038e579b7959df85153399c8",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-08-30T07:58:19Z",
    "title_canon_sha256": "3d73a339a85cc197691ee24932e739852d659ab0690ce690ec0ac482215f19a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.5017",
    "kind": "arxiv",
    "version": 1
  }
}