Pith Number

pith:37FHNFAN

pith:2000:37FHNFANUXZRDZ4G32S65UKU6J

not attested not anchored not stored refs pending

Further Representations of the Canonical Commutation Relations

Martin Florig, Stephen J. Summers

arxiv:math-ph/0006011 v1 · 2000-06-11 · math-ph · math.FA · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{37FHNFANUXZRDZ4G32S65UKU6J}

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	2026-05-18T04:17:27.223874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfca76940da5f311e786dea5eed154f24042f711c156a07ccfcaff6bb6c1fba3

Aliases

arxiv: math-ph/0006011 · arxiv_version: math-ph/0006011v1 · doi: 10.48550/arxiv.math-ph/0006011 · pith_short_12: 37FHNFANUXZR · pith_short_16: 37FHNFANUXZRDZ4G · pith_short_8: 37FHNFAN

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/37FHNFANUXZRDZ4G32S65UKU6J \
  | 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: dfca76940da5f311e786dea5eed154f24042f711c156a07ccfcaff6bb6c1fba3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f19d0a9d057906cf03e5297e4a44695b770a1e5146b275c5d92aeb5f2d77b0e3",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-06-11T22:23:37Z",
    "title_canon_sha256": "ee5bb9ad1bf0513094591852a68f5b5c7ec16089d275dc22d9f1377ff9e57a5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0006011",
    "kind": "arxiv",
    "version": 1
  }
}