Pith Number

pith:6ZKMQFNQ

pith:2010:6ZKMQFNQNBWT6FDKSPP7VPDNGJ

not attested not anchored not stored refs pending

Index maps in the K-theory of graph algebras

Mark Tomforde, S{\o}ren Eilers, Toke M. Carlsen

arxiv:1011.4154 v1 · 2010-11-18 · 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{6ZKMQFNQNBWT6FDKSPP7VPDNGJ}

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	2026-05-18T03:40:36.935508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f654c815b0686d3f146a93dffabc6d326c24344d7caea2de67fa7000acdf6338

Aliases

arxiv: 1011.4154 · arxiv_version: 1011.4154v1 · doi: 10.48550/arxiv.1011.4154 · pith_short_12: 6ZKMQFNQNBWT · pith_short_16: 6ZKMQFNQNBWT6FDK · pith_short_8: 6ZKMQFNQ

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/6ZKMQFNQNBWT6FDKSPP7VPDNGJ \
  | 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: f654c815b0686d3f146a93dffabc6d326c24344d7caea2de67fa7000acdf6338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ae62e33794f46b4dfd6de7485b64a44ebce4abcbc4ed627ac74d3b1dddf55f5",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-11-18T08:57:22Z",
    "title_canon_sha256": "9467d13ef016ebb43bb6b2d6b6a44994d38f76bebc6f4af6c759e7025bb301df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4154",
    "kind": "arxiv",
    "version": 1
  }
}