Pith Number

pith:W33RSOFA

pith:2021:W33RSOFAJUIXNUMWHM2YKIXQMM

not attested not anchored not stored refs pending

Knots, minimal surfaces and J-holomorphic curves

Joel Fine

arxiv:2112.07713 v3 · 2021-12-14 · math.DG · 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{W33RSOFAJUIXNUMWHM2YKIXQMM}

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

Minimal surfaces, Knots, and Neural Networks

Receipt and verification

First computed	2026-07-05T05:18:44.253491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6f71938a04d1176d1963b358522f06318f9a066f1592d962d15141c049f8763

Aliases

arxiv: 2112.07713 · arxiv_version: 2112.07713v3 · doi: 10.48550/arxiv.2112.07713 · pith_short_12: W33RSOFAJUIX · pith_short_16: W33RSOFAJUIXNUMW · pith_short_8: W33RSOFA

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/W33RSOFAJUIXNUMWHM2YKIXQMM \
  | 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: b6f71938a04d1176d1963b358522f06318f9a066f1592d962d15141c049f8763

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27c181bec70b5f897afb4fa2c5de5c0f540b7ccf3151ce4fe217053d77290355",
    "cross_cats_sorted": [
      "math.GT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-12-14T19:30:09Z",
    "title_canon_sha256": "934e1dfb7eb22433b93fff23b35a3bd3e9dcebf40decce4bb2ca8eaea36f2684"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.07713",
    "kind": "arxiv",
    "version": 3
  }
}