Pith Number

pith:3JHJ2KEP

pith:2019:3JHJ2KEP5NWU6UNB4VJ5PN3SV7

not attested not anchored not stored refs pending

A brute force computer aided proof of an existence result about extremal hyperbolic surfaces

Cristian Reyes, Ernesto Girondo

arxiv:1905.13297 v2 · 2019-05-30 · math.MG · math.CV · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JHJ2KEP5NWU6UNB4VJ5PN3SV7}

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	2026-05-17T23:41:52.933042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da4e9d288feb6d4f51a1e553d7b772affbe4db8f566ace268983473487bcdc69

Aliases

arxiv: 1905.13297 · arxiv_version: 1905.13297v2 · doi: 10.48550/arxiv.1905.13297 · pith_short_12: 3JHJ2KEP5NWU · pith_short_16: 3JHJ2KEP5NWU6UNB · pith_short_8: 3JHJ2KEP

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/3JHJ2KEP5NWU6UNB4VJ5PN3SV7 \
  | 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: da4e9d288feb6d4f51a1e553d7b772affbe4db8f566ace268983473487bcdc69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "176a5e5a36cee94be40b43fe543c46cb565912be40bbf13f9308ffe370c033d1",
    "cross_cats_sorted": [
      "math.CV",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-05-30T20:44:24Z",
    "title_canon_sha256": "9bddc4411308f309f91a4340276943f657c319652a987cb92a066df89e8327b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.13297",
    "kind": "arxiv",
    "version": 2
  }
}