Pith Number

pith:FRCWK5LA

pith:2012:FRCWK5LAVYXQPRIA27UOECVUWW

not attested not anchored not stored refs pending

Knots in handlebodies with nontrivial handlebody surgeries

R. Sean Bowman

arxiv:1206.1959 v2 · 2012-06-09 · 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{FRCWK5LAVYXQPRIA27UOECVUWW}

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	2026-05-18T02:57:53.472234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c45657560ae2f07c500d7e8e20ab4b5b73f4a65060a9f2ee23258e818baafcd

Aliases

arxiv: 1206.1959 · arxiv_version: 1206.1959v2 · doi: 10.48550/arxiv.1206.1959 · pith_short_12: FRCWK5LAVYXQ · pith_short_16: FRCWK5LAVYXQPRIA · pith_short_8: FRCWK5LA

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/FRCWK5LAVYXQPRIA27UOECVUWW \
  | 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: 2c45657560ae2f07c500d7e8e20ab4b5b73f4a65060a9f2ee23258e818baafcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0c02609e1f2d801515c7f1b4d070b8b48c41e6387f574757c413ef018498e22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-06-09T18:19:42Z",
    "title_canon_sha256": "80bb03ac55f42e1f54b5c404467c3f3ad3a88735a2d56adcaf94665de4eca10a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1959",
    "kind": "arxiv",
    "version": 2
  }
}