Pith Number

pith:HUOIS36U

pith:2012:HUOIS36UK6LRKT3COT353VOARB

not attested not anchored not stored refs pending

Topological K-(co-)homology of classifying spaces of discrete groups

Michael Joachim, Wolfgang Lueck

arxiv:1201.4763 v1 · 2012-01-23 · 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{HUOIS36UK6LRKT3COT353VOARB}

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	2026-05-18T04:04:05.245940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d1c896fd45797154f6274f7ddd5c0885a7d123f536a155356702281936ee263

Aliases

arxiv: 1201.4763 · arxiv_version: 1201.4763v1 · doi: 10.48550/arxiv.1201.4763 · pith_short_12: HUOIS36UK6LR · pith_short_16: HUOIS36UK6LRKT3C · pith_short_8: HUOIS36U

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/HUOIS36UK6LRKT3COT353VOARB \
  | 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: 3d1c896fd45797154f6274f7ddd5c0885a7d123f536a155356702281936ee263

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2f53fa8638fdaced4c313c7795e7dbba08c66e7a4be5dd1d67d5d430e31ad42",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-01-23T16:50:42Z",
    "title_canon_sha256": "f72c588e3dd832eb6a2dacad8b7656c7d82073af6dd56ffa3628f48433cabad0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4763",
    "kind": "arxiv",
    "version": 1
  }
}