Pith Number

pith:35A3ETWC

pith:2012:35A3ETWCPI4VN7J6ASNHKRRIFR

not attested not anchored not stored refs pending

Minimal volume of complete uniform visibility manifolds with finite volume

Sungwoon Kim

arxiv:1204.2025 v1 · 2012-04-10 · 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{35A3ETWCPI4VN7J6ASNHKRRIFR}

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	2026-05-18T03:58:13.533432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df41b24ec27a3956fd3e049a7546282c6cf0b59c6067a4ffed16c773b9c9e8e0

Aliases

arxiv: 1204.2025 · arxiv_version: 1204.2025v1 · doi: 10.48550/arxiv.1204.2025 · pith_short_12: 35A3ETWCPI4V · pith_short_16: 35A3ETWCPI4VN7J6 · pith_short_8: 35A3ETWC

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/35A3ETWCPI4VN7J6ASNHKRRIFR \
  | 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: df41b24ec27a3956fd3e049a7546282c6cf0b59c6067a4ffed16c773b9c9e8e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b9b50be1a3db9f62d41a2add633f8f1941a9eadd5d92af3fb1e80f633e1241c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-04-10T01:48:39Z",
    "title_canon_sha256": "94f4f3e9437e55002b0ff43bc4cd3267b089a4528ebe06549dc0c9fdc4c02b91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2025",
    "kind": "arxiv",
    "version": 1
  }
}