Pith Number

pith:ZZB2BBWM

pith:2009:ZZB2BBWMKQBPQ24CMRDTV7UKFY

not attested not anchored not stored refs pending

Coverings and Minimal Triangulations of 3-Manifolds

J. Hyam Rubinstein, Stephan Tillmann, William Jaco

arxiv:0903.0112 v1 · 2009-02-28 · 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{ZZB2BBWMKQBPQ24CMRDTV7UKFY}

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	2026-05-18T02:41:51.328873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce43a086cc5402f86b8264473afe8a2e3e4557a6b92f4750bd17d7c607159d58

Aliases

arxiv: 0903.0112 · arxiv_version: 0903.0112v1 · doi: 10.48550/arxiv.0903.0112 · pith_short_12: ZZB2BBWMKQBP · pith_short_16: ZZB2BBWMKQBPQ24C · pith_short_8: ZZB2BBWM

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/ZZB2BBWMKQBPQ24CMRDTV7UKFY \
  | 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: ce43a086cc5402f86b8264473afe8a2e3e4557a6b92f4750bd17d7c607159d58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "150426b1751fba53c6bebe185e146b23ccb0f5e2b0aae44b6e2d24d323c05818",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-02-28T21:57:36Z",
    "title_canon_sha256": "c0cdce06791e6e003e1f3e7731d3ff986f596ff634aae1a8bd1101279ba41eb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.0112",
    "kind": "arxiv",
    "version": 1
  }
}