Pith Number

pith:WGPPKH7Y

pith:2012:WGPPKH7YVKH6NKWOF5X2JDDP5X

not attested not anchored not stored refs pending

Heegaard Floer genus bounds for Dehn surgeries on knots

Stanislav Jabuka

arxiv:1202.4412 v2 · 2012-02-20 · 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{WGPPKH7YVKH6NKWOF5X2JDDP5X}

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	2026-05-18T02:57:53.804262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b19ef51ff8aa8fe6aace2f6fa48c6fedd8cea47acc03df339b2e5220780f065d

Aliases

arxiv: 1202.4412 · arxiv_version: 1202.4412v2 · doi: 10.48550/arxiv.1202.4412 · pith_short_12: WGPPKH7YVKH6 · pith_short_16: WGPPKH7YVKH6NKWO · pith_short_8: WGPPKH7Y

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/WGPPKH7YVKH6NKWOF5X2JDDP5X \
  | 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: b19ef51ff8aa8fe6aace2f6fa48c6fedd8cea47acc03df339b2e5220780f065d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0db9debcd6a819d319413b12e200a1de26df5167fa1033840874a8970e31b87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-02-20T18:30:55Z",
    "title_canon_sha256": "26dfc9ee3af65012cd157fbb4d123a64c0e6a5b1d8a54c58cc2c9a8568869982"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4412",
    "kind": "arxiv",
    "version": 2
  }
}