Pith Number

pith:V4OUSF32

pith:2013:V4OUSF32BLOHNAEJ7KAESXNZRO

not attested not anchored not stored refs pending

Borromean surgery equivalence of spin 3-manifolds with boundary

Eva Contreras, Kazuo Habiro

arxiv:1302.5303 v2 · 2013-02-21 · math.AT · 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{V4OUSF32BLOHNAEJ7KAESXNZRO}

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	2026-05-18T03:19:04.369009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af1d49177a0adc768089fa80495db98b89d884bf63492d00d85ae0389cc1157e

Aliases

arxiv: 1302.5303 · arxiv_version: 1302.5303v2 · doi: 10.48550/arxiv.1302.5303 · pith_short_12: V4OUSF32BLOH · pith_short_16: V4OUSF32BLOHNAEJ · pith_short_8: V4OUSF32

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/V4OUSF32BLOHNAEJ7KAESXNZRO \
  | 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: af1d49177a0adc768089fa80495db98b89d884bf63492d00d85ae0389cc1157e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee045b8841496f89006657b0b287a06668223b01bb5436e932a3b71b8daba897",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-02-21T15:25:26Z",
    "title_canon_sha256": "8c5012b33d4fed1f430c0d8f4c33b4975eb50000f744c48d4a3750fc7d7ba66d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5303",
    "kind": "arxiv",
    "version": 2
  }
}