Pith Number

pith:W2FWZ2LM

pith:2010:W2FWZ2LMGEN2BRODHFU7L6DTDN

not attested not anchored not stored refs pending

$\TT^2$-cobordism of Quasitoric 4-Manifolds

Soumen Sarkar

arxiv:1009.0342 v4 · 2010-09-02 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W2FWZ2LMGEN2BRODHFU7L6DTDN}

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	2026-05-18T03:41:30.874056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b68b6ce96c311ba0c5c33969f5f8731b5f0a7b06d36cef089c55245134ce3e87

Aliases

arxiv: 1009.0342 · arxiv_version: 1009.0342v4 · doi: 10.48550/arxiv.1009.0342 · pith_short_12: W2FWZ2LMGEN2 · pith_short_16: W2FWZ2LMGEN2BROD · pith_short_8: W2FWZ2LM

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/W2FWZ2LMGEN2BRODHFU7L6DTDN \
  | 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: b68b6ce96c311ba0c5c33969f5f8731b5f0a7b06d36cef089c55245134ce3e87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad7e52dd889f1b908a39b3b88f55be6336061e52f81aab088359deb5fc522ac8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-09-02T07:39:37Z",
    "title_canon_sha256": "3ef8c9c4893b3f5f0b01a283fcc93825b5ca12071fc7c10ca132bb9d062c54ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0342",
    "kind": "arxiv",
    "version": 4
  }
}