Pith Number

pith:32MJNUW3

pith:2012:32MJNUW3X5W5ACGJM62PAHFDQV

not attested not anchored not stored refs pending

Recurrence for discrete time unitary evolutions

A. H. Werner, F. A. Gr\"unbaum, L. Vel\'azquez, R. F. Werner

arxiv:1202.3903 v3 · 2012-02-17 · quant-ph · 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{32MJNUW3X5W5ACGJM62PAHFDQV}

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	2026-05-18T01:58:24.099459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de9896d2dbbf6dd008c967b4f01ca385711a558d5cdfc8179aee3d810a49d0fa

Aliases

arxiv: 1202.3903 · arxiv_version: 1202.3903v3 · doi: 10.48550/arxiv.1202.3903 · pith_short_12: 32MJNUW3X5W5 · pith_short_16: 32MJNUW3X5W5ACGJ · pith_short_8: 32MJNUW3

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/32MJNUW3X5W5ACGJM62PAHFDQV \
  | 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: de9896d2dbbf6dd008c967b4f01ca385711a558d5cdfc8179aee3d810a49d0fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c12ab800b255b082417e370be6bb9e9541f15b9863e8322ba37f06fa7a2b7d6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-02-17T13:19:45Z",
    "title_canon_sha256": "863a24653b9b44999ab662741f5ffb4119daf8a617d2d9b24d9edcfab16a9b36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3903",
    "kind": "arxiv",
    "version": 3
  }
}