Pith Number

pith:GIBXJU25

pith:2013:GIBXJU25TI5OZLZ4HBWI24ZCL3

not attested not anchored not stored refs pending

Minimal crystallizations of 3-manifolds

Basudeb Datta, Biplab Basak

arxiv:1308.6137 v3 · 2013-08-28 · 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{GIBXJU25TI5OZLZ4HBWI24ZCL3}

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	2026-05-18T01:00:54.282847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

320374d35d9a3aecaf3c386c8d73225efa4b39f8a5540dd3e991c9773260af9e

Aliases

arxiv: 1308.6137 · arxiv_version: 1308.6137v3 · doi: 10.48550/arxiv.1308.6137 · pith_short_12: GIBXJU25TI5O · pith_short_16: GIBXJU25TI5OZLZ4 · pith_short_8: GIBXJU25

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/GIBXJU25TI5OZLZ4HBWI24ZCL3 \
  | 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: 320374d35d9a3aecaf3c386c8d73225efa4b39f8a5540dd3e991c9773260af9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "180d87c8c67f49f85bbd9ae5a95df73a71eb140f3b6e66785b1251bef5ec8bf1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-08-28T12:00:02Z",
    "title_canon_sha256": "12d9e4925d076c140acb9c6decf847c662a4d752a46004a15021d59f10f755ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6137",
    "kind": "arxiv",
    "version": 3
  }
}