Pith Number

pith:AJGQYB3P

pith:2010:AJGQYB3POW7DFRVT36YBUUQD65

not attested not anchored not stored refs pending

The topological K-theory of certain crystallographic groups

James F. Davis, Wolfgang Lueck

arxiv:1004.2660 v2 · 2010-04-15 · math.KT · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJGQYB3POW7DFRVT36YBUUQD65}

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	2026-05-18T01:25:56.080633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

024d0c076f75be32c6b3dfb01a5203f77a1e7a7c848c5f6b2803ad8351c9487c

Aliases

arxiv: 1004.2660 · arxiv_version: 1004.2660v2 · doi: 10.48550/arxiv.1004.2660 · pith_short_12: AJGQYB3POW7D · pith_short_16: AJGQYB3POW7DFRVT · pith_short_8: AJGQYB3P

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/AJGQYB3POW7DFRVT36YBUUQD65 \
  | 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: 024d0c076f75be32c6b3dfb01a5203f77a1e7a7c848c5f6b2803ad8351c9487c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fd87a9774e9277d1c365562a68151c3272305032b932d2a3c124cbe49083150",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-04-15T16:03:56Z",
    "title_canon_sha256": "b02453901e780f9bbfd19884f81702480d9882d12b900cf69e1d2fec14093278"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2660",
    "kind": "arxiv",
    "version": 2
  }
}