Pith Number

pith:5FY6N3LG

pith:2005:5FY6N3LG3HX6BTMCHS2K2FABWF

not attested not anchored not stored refs pending

Conjugacy classes of p-torsion in symplectic groups over S-integers

Cornelia M. Busch

arxiv:math/0509688 v1 · 2005-09-29 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FY6N3LG3HX6BTMCHS2K2FABWF}

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	2026-05-18T04:08:53.769651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e971e6ed66d9efe0cd823cb4ad1401b144fcda88df02e231d00a6b5fc2c9f350

Aliases

arxiv: math/0509688 · arxiv_version: math/0509688v1 · doi: 10.48550/arxiv.math/0509688 · pith_short_12: 5FY6N3LG3HX6 · pith_short_16: 5FY6N3LG3HX6BTMC · pith_short_8: 5FY6N3LG

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/5FY6N3LG3HX6BTMCHS2K2FABWF \
  | 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: e971e6ed66d9efe0cd823cb4ad1401b144fcda88df02e231d00a6b5fc2c9f350

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "154b2d98182fff98b74163b66713f2e9d1fa134227c52ff0e63afc13ab4b99dd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2005-09-29T12:02:13Z",
    "title_canon_sha256": "b2da3e6e80e048eb068fde6e8c6a498738670a3514e8d5a46b8206667b4ee787"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509688",
    "kind": "arxiv",
    "version": 1
  }
}