Pith Number

pith:5KB5WAJX

pith:2009:5KB5WAJXOT72Z3HNBFLDISN3L2

not attested not anchored not stored refs pending

Axial minimal surfaces in S^2 x R are helicoidal

Brian White, David Hoffman

arxiv:0909.2851 v2 · 2009-09-15 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5KB5WAJXOT72Z3HNBFLDISN3L2}

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	2026-05-18T03:29:28.135835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea83db013774ffaceced09563449bb5e82e75605b22e31edf70688aa686b0e78

Aliases

arxiv: 0909.2851 · arxiv_version: 0909.2851v2 · doi: 10.48550/arxiv.0909.2851 · pith_short_12: 5KB5WAJXOT72 · pith_short_16: 5KB5WAJXOT72Z3HN · pith_short_8: 5KB5WAJX

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/5KB5WAJXOT72Z3HNBFLDISN3L2 \
  | 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: ea83db013774ffaceced09563449bb5e82e75605b22e31edf70688aa686b0e78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a38b257307e7035cc249aa6e01c493b38b5c6cd2e953854c2271cca070f53c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-09-15T18:46:26Z",
    "title_canon_sha256": "8b77f6a80acee30d797a2af64ef3126816ed0797b162723beb707b5c539e187c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2851",
    "kind": "arxiv",
    "version": 2
  }
}