Pith Number

pith:3PAGAO6Y

pith:2012:3PAGAO6YSVED55R4BC4H4UYOS2

not attested not anchored not stored refs pending

Cobordism Category of Manifolds With Baas-Sullivan Singularities, Part I

Nathan Perlmutter

arxiv:1212.6422 v5 · 2012-12-27 · math.AT · math.DG · 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{3PAGAO6YSVED55R4BC4H4UYOS2}

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	2026-05-18T02:31:30.231875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbc0603bd895483ef63c08b87e530e96bd38979568275e7eca0b12f7d7a94936

Aliases

arxiv: 1212.6422 · arxiv_version: 1212.6422v5 · doi: 10.48550/arxiv.1212.6422 · pith_short_12: 3PAGAO6YSVED · pith_short_16: 3PAGAO6YSVED55R4 · pith_short_8: 3PAGAO6Y

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/3PAGAO6YSVED55R4BC4H4UYOS2 \
  | 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: dbc0603bd895483ef63c08b87e530e96bd38979568275e7eca0b12f7d7a94936

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ee1b42f7314789961e02823c5052e181fd5e9c893001f9eb406db8e1e00195e",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-12-27T19:44:04Z",
    "title_canon_sha256": "b893522e829ed6b63c23e810254d1a31a3a692240e472728f8e5ade0f6fdefe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6422",
    "kind": "arxiv",
    "version": 5
  }
}