Pith Number

pith:GES6HROP

pith:2012:GES6HROPXNR4GWQ4ZCVZNKM4GA

not attested not anchored not stored refs pending

An approximation of a catenoid constructed from piecewise truncated conical minimal surfaces

Akihito Ebisu, Yoshiroh Machigashira

arxiv:1207.5920 v1 · 2012-07-25 · math.DG · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GES6HROPXNR4GWQ4ZCVZNKM4GA}

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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	2026-05-18T03:50:09.908340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3125e3c5cfbb63c35a1cc8ab96a99c303cc10aad261c78fa340c0232fad3ed7a

Aliases

arxiv: 1207.5920 · arxiv_version: 1207.5920v1 · doi: 10.48550/arxiv.1207.5920 · pith_short_12: GES6HROPXNR4 · pith_short_16: GES6HROPXNR4GWQ4 · pith_short_8: GES6HROP

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/GES6HROPXNR4GWQ4ZCVZNKM4GA \
  | 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: 3125e3c5cfbb63c35a1cc8ab96a99c303cc10aad261c78fa340c0232fad3ed7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d516406616c57d2a46d985818725df811e0bc53f27d9149ad0b3fc53c774f29",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-25T08:29:44Z",
    "title_canon_sha256": "74476d945675ca5b449ca0c0a4847f309c1aaff7ff55c027487a5399682edb67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5920",
    "kind": "arxiv",
    "version": 1
  }
}