Pith Number

pith:DNRAST3J

pith:2008:DNRAST3JVWBUKR5ZJYKVDBB64W

not attested not anchored not stored refs pending

Minimal triangulations for an infinite family of lens spaces

J. Hyam Rubinstein, Stephan Tillmann, William Jaco

arxiv:0805.2425 v1 · 2008-05-16 · 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{DNRAST3JVWBUKR5ZJYKVDBB64W}

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	2026-05-18T02:58:11.532959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b62094f69ad834547b94e1551843ee5ac38fa0b22a6ebfa0d78039d48ca8abd

Aliases

arxiv: 0805.2425 · arxiv_version: 0805.2425v1 · doi: 10.48550/arxiv.0805.2425 · pith_short_12: DNRAST3JVWBU · pith_short_16: DNRAST3JVWBUKR5Z · pith_short_8: DNRAST3J

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/DNRAST3JVWBUKR5ZJYKVDBB64W \
  | 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: 1b62094f69ad834547b94e1551843ee5ac38fa0b22a6ebfa0d78039d48ca8abd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe8a0c83c664c3d4a7b320df32eb99041493932e40b51a5dd7732b92676226db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-05-16T00:26:08Z",
    "title_canon_sha256": "18de100676f223c61eeb1554069a28079c852100443d9078f16485138b54e1f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.2425",
    "kind": "arxiv",
    "version": 1
  }
}