Pith Number

pith:CCUPMIFU

pith:2015:CCUPMIFUIF3LVPEO2G4LBND5RX

not attested not anchored not stored refs pending

An annulus and a half-helicoid maximize Laplace eigenvalues

Sinan Ariturk

arxiv:1510.02030 v1 · 2015-10-07 · math.AP · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCUPMIFUIF3LVPEO2G4LBND5RX}

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	2026-05-18T01:30:49.853943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10a8f620b44176babc8ed1b8b0b47d8debbb98c0bd84f1ea6c0046106114b951

Aliases

arxiv: 1510.02030 · arxiv_version: 1510.02030v1 · doi: 10.48550/arxiv.1510.02030 · pith_short_12: CCUPMIFUIF3L · pith_short_16: CCUPMIFUIF3LVPEO · pith_short_8: CCUPMIFU

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/CCUPMIFUIF3LVPEO2G4LBND5RX \
  | 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: 10a8f620b44176babc8ed1b8b0b47d8debbb98c0bd84f1ea6c0046106114b951

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d8f6d792adee8c8c80ad5d85c04b6b2ed70503178bf4a2349cbeb9cb0ad5ed0",
    "cross_cats_sorted": [
      "math.DG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-07T17:10:54Z",
    "title_canon_sha256": "098011c4927655b37c4f17b8051aedcf8fc1970a1ab2ce353f73ace18a503b32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02030",
    "kind": "arxiv",
    "version": 1
  }
}