Pith Number

pith:672DF5QG

pith:2010:672DF5QG267QTFMSDDPVNE66K5

not attested not anchored not stored refs pending

18 Lectures on K-Theory

Ioannis P. Zois

arxiv:1008.1346 v1 · 2010-08-07 · math.KT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{672DF5QG267QTFMSDDPVNE66K5}

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	2026-05-18T04:42:33.148128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7f432f606d7bf09959218df5693de574a2077fdc7b8b674e3321894d52d6c34

Aliases

arxiv: 1008.1346 · arxiv_version: 1008.1346v1 · doi: 10.48550/arxiv.1008.1346 · pith_short_12: 672DF5QG267Q · pith_short_16: 672DF5QG267QTFMS · pith_short_8: 672DF5QG

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/672DF5QG267QTFMSDDPVNE66K5 \
  | 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: f7f432f606d7bf09959218df5693de574a2077fdc7b8b674e3321894d52d6c34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24634a98fd8589a46d6aff08c65652fa01363b614a1fbdeefc14fce349875a1a",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-08-07T14:41:25Z",
    "title_canon_sha256": "23437163ce6fb44abfa98b1e63952664fb080e79b425794bc00a317c99859f7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1346",
    "kind": "arxiv",
    "version": 1
  }
}