Pith Number

pith:AWDWT4AP

pith:2011:AWDWT4APY6H5LXP3QMB4R5CEAU

not attested not anchored not stored refs pending

Exceptional Dehn surgery on the minimally twisted five-chain link

Bruno Martelli, Carlo Petronio, Fionntan Roukema

arxiv:1109.0903 v2 · 2011-09-05 · 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{AWDWT4APY6H5LXP3QMB4R5CEAU}

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	2026-05-18T03:06:03.892343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

058769f00fc78fd5ddfb8303c8f444051d8b3aef8c4a0ffc3f4771b75235c3e5

Aliases

arxiv: 1109.0903 · arxiv_version: 1109.0903v2 · doi: 10.48550/arxiv.1109.0903 · pith_short_12: AWDWT4APY6H5 · pith_short_16: AWDWT4APY6H5LXP3 · pith_short_8: AWDWT4AP

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/AWDWT4APY6H5LXP3QMB4R5CEAU \
  | 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: 058769f00fc78fd5ddfb8303c8f444051d8b3aef8c4a0ffc3f4771b75235c3e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58d114f8163380e4e629153a26808ee0a26856fe0c15739103e3187a3b5d85ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-09-05T14:02:54Z",
    "title_canon_sha256": "2c64ae7d9c6d9dd5100f9ec85ce62b149a70f0cff37bfa30f7c8ce63ce92c514"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0903",
    "kind": "arxiv",
    "version": 2
  }
}