Pith Number

pith:T7NVCSGH

pith:2023:T7NVCSGHPQ44ZOLQLGQTVXQEFY

not attested not anchored not stored refs pending

On the minimal genus problem in four-manifolds

Andr\'as I. Stipsicz, Zolt\'an Szab\'o

arxiv:2307.04202 v1 · 2023-07-09 · 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{T7NVCSGHPQ44ZOLQLGQTVXQEFY}

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.

Cited by

1 paper in Pith

Distinguishing closed 4-manifolds by slicing

Receipt and verification

First computed	2026-07-05T06:29:10.182310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fdb5148c77c39ccb97059a13ade042e345c25de7ec4761a8d408702af9c4e7d

Aliases

arxiv: 2307.04202 · arxiv_version: 2307.04202v1 · doi: 10.48550/arxiv.2307.04202 · pith_short_12: T7NVCSGHPQ44 · pith_short_16: T7NVCSGHPQ44ZOLQ · pith_short_8: T7NVCSGH

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/T7NVCSGHPQ44ZOLQLGQTVXQEFY \
  | 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: 9fdb5148c77c39ccb97059a13ade042e345c25de7ec4761a8d408702af9c4e7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97838c72542a50013c1515ae8b309ef6b00799e8ef4db389c685a092a2caea57",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-07-09T15:12:18Z",
    "title_canon_sha256": "573e535be650e8f2dda3f41614e3496841e0bc8b7e0e4db0c2cc83b3eb6deab7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.04202",
    "kind": "arxiv",
    "version": 1
  }
}