Pith Number

pith:2D5VAMQV

pith:2012:2D5VAMQV33NXVBJX4QIWM7DLXH

not attested not anchored not stored refs pending

Tight triangulations of some 4-manifolds

Basudeb Datta, Nitin Singh

arxiv:1207.6182 v2 · 2012-07-26 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2D5VAMQV33NXVBJX4QIWM7DLXH}

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	2026-05-18T03:46:48.798149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0fb503215dedb7a8537e411667c6bb9f01c88c04f7204d210ae1ea7a30aeda5

Aliases

arxiv: 1207.6182 · arxiv_version: 1207.6182v2 · doi: 10.48550/arxiv.1207.6182 · pith_short_12: 2D5VAMQV33NX · pith_short_16: 2D5VAMQV33NXVBJX · pith_short_8: 2D5VAMQV

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/2D5VAMQV33NXVBJX4QIWM7DLXH \
  | 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: d0fb503215dedb7a8537e411667c6bb9f01c88c04f7204d210ae1ea7a30aeda5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8f3f80ff96cf2e0bbb842a406370365f8bf126ad6daf4746279d1c4885cf50b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-07-26T07:04:18Z",
    "title_canon_sha256": "e7962030e096a1bc5983bab0649453cb727ded6d1b02b1e435362cc4dc7b4a62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6182",
    "kind": "arxiv",
    "version": 2
  }
}