Pith Number

pith:PANG222Q

pith:2012:PANG222QSIP3AA6LDF5TSCFE5J

not attested not anchored not stored refs pending

Fusion Systems for Profinite Groups

Peter Symonds, Radu Stancu

arxiv:1204.2582 v1 · 2012-04-11 · math.RT · 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{PANG222QSIP3AA6LDF5TSCFE5J}

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	2026-05-18T00:44:30.410110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

781a6d6b50921fb003cb197b3908a4ea5e2fffef3318fd66785f2daaa1f83569

Aliases

arxiv: 1204.2582 · arxiv_version: 1204.2582v1 · doi: 10.48550/arxiv.1204.2582 · pith_short_12: PANG222QSIP3 · pith_short_16: PANG222QSIP3AA6L · pith_short_8: PANG222Q

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/PANG222QSIP3AA6LDF5TSCFE5J \
  | 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: 781a6d6b50921fb003cb197b3908a4ea5e2fffef3318fd66785f2daaa1f83569

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "188e6138e5c6a7199499bdc158dbc21160b9366bdf3a9c51e9416a42fd3b5166",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-04-11T22:15:58Z",
    "title_canon_sha256": "522115a35b874435a582ae178f18ac70d2860d7fcc7b169335ebc6a221fc8abf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2582",
    "kind": "arxiv",
    "version": 1
  }
}