Pith Number

pith:Z6N3NEAS

pith:2013:Z6N3NEASTBLJ2SCLN3TV5JPWKS

not attested not anchored not stored refs pending

Algebraic and Hermitian K-theory of K-rings

Mariusz Wodzicki, Max Karoubi

arxiv:1310.4123 v1 · 2013-10-15 · 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{Z6N3NEASTBLJ2SCLN3TV5JPWKS}

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	2026-05-18T03:10:24.986015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf9bb6901298569d484b6ee75ea5f65483596e424f1e895791a44d7da8ba75a3

Aliases

arxiv: 1310.4123 · arxiv_version: 1310.4123v1 · doi: 10.48550/arxiv.1310.4123 · pith_short_12: Z6N3NEASTBLJ · pith_short_16: Z6N3NEASTBLJ2SCL · pith_short_8: Z6N3NEAS

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/Z6N3NEASTBLJ2SCLN3TV5JPWKS \
  | 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: cf9bb6901298569d484b6ee75ea5f65483596e424f1e895791a44d7da8ba75a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41561aa5600608d49d20984530b53bc6ffd275061e69d66bf126de9aaf5b1fe8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-10-15T17:30:26Z",
    "title_canon_sha256": "342a36d616487612953de61fda1fa906cccb246f6a40932ccf64bd1404b7db46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4123",
    "kind": "arxiv",
    "version": 1
  }
}