Pith Number

pith:G5FIF2TJ

pith:2001:G5FIF2TJYTSWQPXVUX4O7SBG5F

not attested not anchored not stored refs pending

Order automorphisms of the set of bounded observables

Lajos Molnar

arxiv:math/0108058 v1 · 2001-08-08 · math.OA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5FIF2TJYTSWQPXVUX4O7SBG5F}

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	2026-05-18T01:38:29.869550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

374a82ea69c4e5683ef5a5f8efc826e949be719811f333c4ffd68aa50b96bb81

Aliases

arxiv: math/0108058 · arxiv_version: math/0108058v1 · doi: 10.48550/arxiv.math/0108058 · pith_short_12: G5FIF2TJYTSW · pith_short_16: G5FIF2TJYTSWQPXV · pith_short_8: G5FIF2TJ

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/G5FIF2TJYTSWQPXVUX4O7SBG5F \
  | 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: 374a82ea69c4e5683ef5a5f8efc826e949be719811f333c4ffd68aa50b96bb81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63dc022be494e130cb8767e4a59442da6f94f001d9be6b3eac2b63dfbeb34157",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2001-08-08T10:01:10Z",
    "title_canon_sha256": "8c21ccc213d576c9937d85acd449dd237e37c3f97b2c82c6efdfc2a0d1a00380"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0108058",
    "kind": "arxiv",
    "version": 1
  }
}