Pith Number

pith:NU2MXRHN

pith:2012:NU2MXRHNDTY6JMEA5E2FCUEKMD

not attested not anchored not stored refs pending

Stabilizing and destabilizing Heegaard splittings of sufficiently complicated 3-manifolds

David Bachman

arxiv:1201.3438 v1 · 2012-01-17 · 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{NU2MXRHNDTY6JMEA5E2FCUEKMD}

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	2026-05-18T04:04:29.313362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d34cbc4ed1cf1e4b080e93451508a60e2b93e54efbf0752046f85c74294f466

Aliases

arxiv: 1201.3438 · arxiv_version: 1201.3438v1 · doi: 10.48550/arxiv.1201.3438 · pith_short_12: NU2MXRHNDTY6 · pith_short_16: NU2MXRHNDTY6JMEA · pith_short_8: NU2MXRHN

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/NU2MXRHNDTY6JMEA5E2FCUEKMD \
  | 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: 6d34cbc4ed1cf1e4b080e93451508a60e2b93e54efbf0752046f85c74294f466

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7910f1bb42a74b331f42bcb62be8eb22dedd0a1c42dc0747af2cc27572f5cfc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-01-17T06:37:37Z",
    "title_canon_sha256": "0df015fb02315df54cd2ad0c6a4813d3a07d99b1288258d822980c0ac717e0fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3438",
    "kind": "arxiv",
    "version": 1
  }
}