Pith Number

pith:WGABIBE6

pith:2013:WGABIBE6KAFAJI5MGWJENQB3GY

not attested not anchored not stored refs pending

Stratified-algebraic vector bundles

Krzysztof Kurdyka, Wojciech Kucharz

arxiv:1308.4376 v1 · 2013-08-20 · 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{WGABIBE6KAFAJI5MGWJENQB3GY}

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	2026-05-18T01:19:00.651475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b18014049e500a04a3ac359246c03b36229936150e079b7f38451b1149b5c187

Aliases

arxiv: 1308.4376 · arxiv_version: 1308.4376v1 · doi: 10.48550/arxiv.1308.4376 · pith_short_12: WGABIBE6KAFA · pith_short_16: WGABIBE6KAFAJI5M · pith_short_8: WGABIBE6

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/WGABIBE6KAFAJI5MGWJENQB3GY \
  | 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: b18014049e500a04a3ac359246c03b36229936150e079b7f38451b1149b5c187

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "116a782d10ed3e2777d63354ad35996d29290547560c78430ec6c268300f4938",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-08-20T18:51:38Z",
    "title_canon_sha256": "a4390d307ac81b53d366e517124a5b9b3d3be185dfdce16c3dc6dc77cec98e62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4376",
    "kind": "arxiv",
    "version": 1
  }
}