Pith Number

pith:263VVX72

pith:2014:263VVX72UFAEVYFAYBHRH23AM6

not attested not anchored not stored refs pending

Logarithmically spiraling helicoids

Christine Breiner, Stephen J. Kleene

arxiv:1404.6996 v2 · 2014-04-28 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{263VVX72UFAEVYFAYBHRH23AM6}

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	2026-05-18T02:52:57.435516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7b75adffaa1404ae0a0c04f13eb6067bb169322d027caf7e1a42268c633426a

Aliases

arxiv: 1404.6996 · arxiv_version: 1404.6996v2 · doi: 10.48550/arxiv.1404.6996 · pith_short_12: 263VVX72UFAE · pith_short_16: 263VVX72UFAEVYFA · pith_short_8: 263VVX72

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/263VVX72UFAEVYFAYBHRH23AM6 \
  | 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: d7b75adffaa1404ae0a0c04f13eb6067bb169322d027caf7e1a42268c633426a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc549eb04e0177788ebdee148d21debe3034f82edb4ecca72a9536b19069c11e",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-04-28T14:22:49Z",
    "title_canon_sha256": "ffc70ca3a90569b4592c3dc23286a6c7a01d1dd7087e98aa7c33356f5b517d6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6996",
    "kind": "arxiv",
    "version": 2
  }
}