Pith Number

pith:FRGPNELQ

pith:2013:FRGPNELQDSYF6NAYYXINZFEWV5

not attested not anchored not stored refs pending

Simple closed geodesics on most Alexandrov surfaces

Costin V\^ilcu, Jo\"el Rouyer

arxiv:1311.4873 v1 · 2013-11-19 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRGPNELQDSYF6NAYYXINZFEWV5}

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	2026-05-18T03:06:43.306048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c4cf691701cb05f3418c5d0dc9496af5df8562cfe26969906260dca6e860f33

Aliases

arxiv: 1311.4873 · arxiv_version: 1311.4873v1 · doi: 10.48550/arxiv.1311.4873 · pith_short_12: FRGPNELQDSYF · pith_short_16: FRGPNELQDSYF6NAY · pith_short_8: FRGPNELQ

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/FRGPNELQDSYF6NAYYXINZFEWV5 \
  | 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: 2c4cf691701cb05f3418c5d0dc9496af5df8562cfe26969906260dca6e860f33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13107e44b1ad4fc9cc09af305c772be46389d050d0219e491f7c1682a05ee726",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-11-19T20:54:26Z",
    "title_canon_sha256": "fefcd7ab386410c7b2c14e07057cee618dd05ba209d57d4fadab982721587a5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4873",
    "kind": "arxiv",
    "version": 1
  }
}