Pith Number

pith:FF7OVO4T

pith:2015:FF7OVO4TIA5FRAE2VVFFAQRPCT

not attested not anchored not stored refs pending

Minimal genus for 4-manifolds with $b^+=1$

Bo Dai, Chung-I Ho, Tian-Jun Li

arxiv:1501.00235 v2 · 2015-01-01 · 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{FF7OVO4TIA5FRAE2VVFFAQRPCT}

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	2026-05-18T00:44:28.563349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

297eeabb93403a58809aad4a50422f14c02b99b714784ee76436d258b9922e48

Aliases

arxiv: 1501.00235 · arxiv_version: 1501.00235v2 · doi: 10.48550/arxiv.1501.00235 · pith_short_12: FF7OVO4TIA5F · pith_short_16: FF7OVO4TIA5FRAE2 · pith_short_8: FF7OVO4T

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/FF7OVO4TIA5FRAE2VVFFAQRPCT \
  | 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: 297eeabb93403a58809aad4a50422f14c02b99b714784ee76436d258b9922e48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8505384016b7413ccbb4abd7bbdd0a99ced78ed9494bbd1759157d2b5ba33a49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-01-01T02:04:46Z",
    "title_canon_sha256": "da60256be9fedffff650a96729d7cdba58308230039f15209e6074fd4f700a22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00235",
    "kind": "arxiv",
    "version": 2
  }
}