Pith Number

pith:XJCTUV27

pith:2015:XJCTUV27WIZEY5LMF6XFWFGZ76

not attested not anchored not stored refs pending

Comparison of stratified-algebraic and topological K-theory

Krzysztof Kurdyka, Wojciech Kucharz

arxiv:1511.04238 v1 · 2015-11-13 · 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{XJCTUV27WIZEY5LMF6XFWFGZ76}

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	2026-05-18T01:26:59.360519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba453a575fb2324c756c2fae5b14d9ff9fc546fb9426dfd2e7b25cc4ec4000d3

Aliases

arxiv: 1511.04238 · arxiv_version: 1511.04238v1 · doi: 10.48550/arxiv.1511.04238 · pith_short_12: XJCTUV27WIZE · pith_short_16: XJCTUV27WIZEY5LM · pith_short_8: XJCTUV27

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/XJCTUV27WIZEY5LMF6XFWFGZ76 \
  | 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: ba453a575fb2324c756c2fae5b14d9ff9fc546fb9426dfd2e7b25cc4ec4000d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98838766a55fd68bf1ecf82afbd0edd4ce03d83ff9fc2590076f876dcb9467ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-13T11:18:44Z",
    "title_canon_sha256": "cf92382ca2f08d022113eb46ade4cf94a66d7f6355baef2b38c0d070845661a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04238",
    "kind": "arxiv",
    "version": 1
  }
}