Pith Number

pith:VFS62BIE

pith:2009:VFS62BIERUFATJ6S2HXNYQEII3

not attested not anchored not stored refs pending

An easy proof of the Stone-von Neumann-Mackey theorem

Amritanshu Prasad

arxiv:0912.0574 v1 · 2009-12-03 · math.RT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFS62BIERUFATJ6S2HXNYQEII3}

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	2026-05-18T04:25:26.123806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a965ed05048d0a09a7d2d1eedc408846c3677f889a1f7e10b91ab5281af8e3e0

Aliases

arxiv: 0912.0574 · arxiv_version: 0912.0574v1 · doi: 10.48550/arxiv.0912.0574 · pith_short_12: VFS62BIERUFA · pith_short_16: VFS62BIERUFATJ6S · pith_short_8: VFS62BIE

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/VFS62BIERUFATJ6S2HXNYQEII3 \
  | 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: a965ed05048d0a09a7d2d1eedc408846c3677f889a1f7e10b91ab5281af8e3e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f4b903b02bf44a3a274cc30520e42a6a4e9219ac281dd8aa1f123b7b4a077b0",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-12-03T05:03:54Z",
    "title_canon_sha256": "9e90def712f6f9b0b505ab45240ff293f93deeb2df9ad857d64acde437dfbd91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0574",
    "kind": "arxiv",
    "version": 1
  }
}