Pith Number

pith:UER7T3PS

pith:2013:UER7T3PSGLVIPD4J6RDOIGDXOA

not attested not anchored not stored refs pending

Bridge number and integral Dehn surgery

Cameron Gordon, John Luecke, Ken Baker

arxiv:1303.7018 v1 · 2013-03-28 · 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{UER7T3PSGLVIPD4J6RDOIGDXOA}

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	2026-05-18T01:19:31.087472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a123f9edf232ea878f89f446e418777012fa9babec2c0cd81a7d7dda48b60a9e

Aliases

arxiv: 1303.7018 · arxiv_version: 1303.7018v1 · doi: 10.48550/arxiv.1303.7018 · pith_short_12: UER7T3PSGLVI · pith_short_16: UER7T3PSGLVIPD4J · pith_short_8: UER7T3PS

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/UER7T3PSGLVIPD4J6RDOIGDXOA \
  | 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: a123f9edf232ea878f89f446e418777012fa9babec2c0cd81a7d7dda48b60a9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca9667d63fb2d7f52a755b48c65041b3cffa255c8c68b4af48d42c51bcfed858",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-03-28T01:23:15Z",
    "title_canon_sha256": "09acd732567e938b75efc0fa95040e57f9e3b6bcaa009158fb9f91c695db095b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7018",
    "kind": "arxiv",
    "version": 1
  }
}