Pith Number

pith:QDNGITV2

pith:2012:QDNGITV2XO6UQ7IATCUPUMPLUO

not attested not anchored not stored refs pending

A topological grading on bordered Heegaard Floer homology

Vinicius G. B. Ramos, Yang Huang

arxiv:1211.7367 v2 · 2012-11-30 · math.GT · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QDNGITV2XO6UQ7IATCUPUMPLUO}

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	2026-05-18T02:56:11.741271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80da644ebabbbd487d0098a8fa31eba3ac4ee273926361e5d734a9de4814ec1f

Aliases

arxiv: 1211.7367 · arxiv_version: 1211.7367v2 · doi: 10.48550/arxiv.1211.7367 · pith_short_12: QDNGITV2XO6U · pith_short_16: QDNGITV2XO6UQ7IA · pith_short_8: QDNGITV2

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/QDNGITV2XO6UQ7IATCUPUMPLUO \
  | 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: 80da644ebabbbd487d0098a8fa31eba3ac4ee273926361e5d734a9de4814ec1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9acd7f5cf36e8335fbb49ed7489f2d871df834b90d5b45da1e722c2fbeec98d3",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-11-30T20:32:20Z",
    "title_canon_sha256": "0ae46469a37c805ab43250dcb68a4255f9c382dd196eb809f8a9ef78a299015c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7367",
    "kind": "arxiv",
    "version": 2
  }
}