Pith Number

pith:CMVBUUJZ

pith:2013:CMVBUUJZSDVMANAYOJQFVR7WE7

not attested not anchored not stored refs pending

Reducible surgeries and Heegaard Floer homology

Jennifer Hom, Nicholas Zufelt, Tye Lidman

arxiv:1307.5317 v2 · 2013-07-19 · 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{CMVBUUJZSDVMANAYOJQFVR7WE7}

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	2026-05-18T03:08:36.600926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

132a1a513990eac0341872605ac7f627d23f99dded354e4f54072cc39ffdc6c9

Aliases

arxiv: 1307.5317 · arxiv_version: 1307.5317v2 · doi: 10.48550/arxiv.1307.5317 · pith_short_12: CMVBUUJZSDVM · pith_short_16: CMVBUUJZSDVMANAY · pith_short_8: CMVBUUJZ

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/CMVBUUJZSDVMANAYOJQFVR7WE7 \
  | 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: 132a1a513990eac0341872605ac7f627d23f99dded354e4f54072cc39ffdc6c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8405f15eb3526fd23a26fd67fae34be24881196c3a8c70442144e1c9a2896973",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-07-19T19:57:05Z",
    "title_canon_sha256": "a3deb8e2c9cc4d172d19af6d3f959767ece4882c6bf9cefe844cbda8d4668ae7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5317",
    "kind": "arxiv",
    "version": 2
  }
}