Pith Number

pith:E4HGEGMA

pith:2013:E4HGEGMA2ELTDYAC5LBOPLRCVO

not attested not anchored not stored refs pending

Weakening idempotency in K-theory

Vladimir Manuilov

arxiv:1304.2650 v1 · 2013-04-09 · math.OA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E4HGEGMA2ELTDYAC5LBOPLRCVO}

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	2026-05-18T03:28:31.172479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

270e621980d11731e002eac2e7ae22aba1d78046460a5f9f080e9a19fb10ae98

Aliases

arxiv: 1304.2650 · arxiv_version: 1304.2650v1 · doi: 10.48550/arxiv.1304.2650 · pith_short_12: E4HGEGMA2ELT · pith_short_16: E4HGEGMA2ELTDYAC · pith_short_8: E4HGEGMA

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/E4HGEGMA2ELTDYAC5LBOPLRCVO \
  | 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: 270e621980d11731e002eac2e7ae22aba1d78046460a5f9f080e9a19fb10ae98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9c9b03f4e33e5ab0de9cdba741bb9fd002cc17721e445c6b5f75cba3f270376",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-04-09T16:32:43Z",
    "title_canon_sha256": "0bc2c30cb322211daefbce8f1389b3add32abb9db393ff8419124ffd12af636d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2650",
    "kind": "arxiv",
    "version": 1
  }
}