Pith Number

pith:7EARID43

pith:2005:7EARID43KIUB35EP4TDZBOUGA2

not attested not anchored not stored refs pending

On p-periodicity in the Farrell cohomology of Sp(p-1,Z[1/n])

Cornelia M. Busch

arxiv:math/0509693 v2 · 2005-09-29 · math.GR · 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{7EARID43KIUB35EP4TDZBOUGA2}

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	2026-05-18T04:08:53.762872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f901140f9b52281df48fe4c790ba8606a921a4631951e9d9bd83d289497e932d

Aliases

arxiv: math/0509693 · arxiv_version: math/0509693v2 · doi: 10.48550/arxiv.math/0509693 · pith_short_12: 7EARID43KIUB · pith_short_16: 7EARID43KIUB35EP · pith_short_8: 7EARID43

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/7EARID43KIUB35EP4TDZBOUGA2 \
  | 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: f901140f9b52281df48fe4c790ba8606a921a4631951e9d9bd83d289497e932d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cba244a8f145aa3c9b7220f1abecfed72d0fb6e355a9e4e32913a530a44c0ed",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2005-09-29T13:09:32Z",
    "title_canon_sha256": "fcddf2fe07985ec56d674dc1d54c8db753c2c68f35f970333bee0d73f965c849"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509693",
    "kind": "arxiv",
    "version": 2
  }
}