Pith Number

pith:QWRQVOWO

pith:2013:QWRQVOWO6RK2JT24KPMVSVQFLW

not attested not anchored not stored refs pending

Parametrized K-Theory

Nicolas Michel

arxiv:1304.0520 v1 · 2013-04-02 · math.KT · math.AC · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWRQVOWO6RK2JT24KPMVSVQFLW}

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	2026-05-18T03:29:15.178444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85a30abacef455a4cf5c53d95956055db91c62b2fb53162f4350de912b230103

Aliases

arxiv: 1304.0520 · arxiv_version: 1304.0520v1 · doi: 10.48550/arxiv.1304.0520 · pith_short_12: QWRQVOWO6RK2 · pith_short_16: QWRQVOWO6RK2JT24 · pith_short_8: QWRQVOWO

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/QWRQVOWO6RK2JT24KPMVSVQFLW \
  | 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: 85a30abacef455a4cf5c53d95956055db91c62b2fb53162f4350de912b230103

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "757b5d598330b9d80bcc041082c472f0280d327cece37a200a3ab6ff830ecff2",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-04-02T03:28:31Z",
    "title_canon_sha256": "722a663f9da13c0323b5ceb61a057fb388ade32a2468d8728f3852a1f13f8c0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0520",
    "kind": "arxiv",
    "version": 1
  }
}