Pith Number

pith:ICRE5ZB7

pith:2008:ICRE5ZB7Q5QMEW63XBIKWVEFHG

not attested not anchored not stored refs pending

Algebraic K-theory over the infinite dihedral group: an algebraic approach

Andrew Ranicki, James F. Davis, Qayum Khan

arxiv:0803.1639 v4 · 2008-03-11 · 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{ICRE5ZB7Q5QMEW63XBIKWVEFHG}

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	2026-05-18T01:14:46.009166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40a24ee43f8760c25bdbb850ab5485398d71e4c3b5821ac56f5f132e85e9946b

Aliases

arxiv: 0803.1639 · arxiv_version: 0803.1639v4 · doi: 10.48550/arxiv.0803.1639 · pith_short_12: ICRE5ZB7Q5QM · pith_short_16: ICRE5ZB7Q5QMEW63 · pith_short_8: ICRE5ZB7

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/ICRE5ZB7Q5QMEW63XBIKWVEFHG \
  | 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: 40a24ee43f8760c25bdbb850ab5485398d71e4c3b5821ac56f5f132e85e9946b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca79a9d7ea1f40bf29af6784e1372fcad69e7035459ccf48e19cfbe7f4625c9e",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2008-03-11T17:27:03Z",
    "title_canon_sha256": "4f4a2fe077d57132ea85b964e6ca25976ede7a2461ddc2df5d7ddb66ae060e25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.1639",
    "kind": "arxiv",
    "version": 4
  }
}