Pith Number

pith:HKO26JTY

pith:2012:HKO26JTY6AWT6MBLTJ5K5ZGN6B

not attested not anchored not stored refs pending

Homology cobordism and Seifert fibered 3-manifolds

Daniel Tanner (Epic Systems), Tim D. Cochran (Rice University)

arxiv:1207.5042 v1 · 2012-07-20 · 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{HKO26JTY6AWT6MBLTJ5K5ZGN6B}

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	2026-05-18T02:31:38.550327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a9daf2678f02d3f302b9a7aaee4cdf04876df5fd449668dd421344d55f53c43

Aliases

arxiv: 1207.5042 · arxiv_version: 1207.5042v1 · doi: 10.48550/arxiv.1207.5042 · pith_short_12: HKO26JTY6AWT · pith_short_16: HKO26JTY6AWT6MBL · pith_short_8: HKO26JTY

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/HKO26JTY6AWT6MBLTJ5K5ZGN6B \
  | 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: 3a9daf2678f02d3f302b9a7aaee4cdf04876df5fd449668dd421344d55f53c43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae6f0fb220ca2088e7f536aec0063498ca0cc79f5c05c147a4f931d9e2b4b7f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-07-20T19:58:58Z",
    "title_canon_sha256": "6f3dd10cd67a4e4c063f83ab708d77742c8977cb26e6fdcdd497beaa847ee709"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5042",
    "kind": "arxiv",
    "version": 1
  }
}