Pith Number

pith:CSDZCUNU

pith:2013:CSDZCUNUDW5UPJYGXLZDLCJMHL

not attested not anchored not stored refs pending

Bivariant Algebraic Cobordism

Jos\'e Luis Gonz\'alez, Kalle Karu

arxiv:1301.4210 v1 · 2013-01-17 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CSDZCUNUDW5UPJYGXLZDLCJMHL}

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	2026-05-18T01:22:25.812007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14879151b41dbb47a706baf235892c3ade28de982209fa5397ae9ac076fb53c2

Aliases

arxiv: 1301.4210 · arxiv_version: 1301.4210v1 · doi: 10.48550/arxiv.1301.4210 · pith_short_12: CSDZCUNUDW5U · pith_short_16: CSDZCUNUDW5UPJYG · pith_short_8: CSDZCUNU

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/CSDZCUNUDW5UPJYGXLZDLCJMHL \
  | 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: 14879151b41dbb47a706baf235892c3ade28de982209fa5397ae9ac076fb53c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cf2aeb0cc35e02f94324498ed636397e3159bffa2eda82f2cb1773eb7f945d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-01-17T20:37:13Z",
    "title_canon_sha256": "b8ce8f0f0836bda175110a28d7fe0ad47a1a5b3d741cffc5b394dc1659767432"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4210",
    "kind": "arxiv",
    "version": 1
  }
}