Pith Number

pith:T6WOADQW

pith:2013:T6WOADQWEJ4I465K33B3JINYJB

not attested not anchored not stored refs pending

Maximal Covariance Group of Wigner Transforms and Pseudo-Differential Operators

Jo\~ao Nuno Prata, Maurice A. de Gosson, Nuno Costa Dias

arxiv:1307.8185 v1 · 2013-07-31 · math.SG · math-ph · math.FA · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T6WOADQWEJ4I465K33B3JINYJB}

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	2026-05-18T02:03:48.643888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9face00e1622788e7baadec3b4a1b84860df5510f6338027c2f925d852c98b03

Aliases

arxiv: 1307.8185 · arxiv_version: 1307.8185v1 · doi: 10.48550/arxiv.1307.8185 · pith_short_12: T6WOADQWEJ4I · pith_short_16: T6WOADQWEJ4I465K · pith_short_8: T6WOADQW

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/T6WOADQWEJ4I465K33B3JINYJB \
  | 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: 9face00e1622788e7baadec3b4a1b84860df5510f6338027c2f925d852c98b03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a182760f33688ad6b3acc9727533571c01e7dfb200140c2b58cbff76f3c3fa82",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-07-31T01:40:50Z",
    "title_canon_sha256": "1fc0f1b202a15d8d1a667e205cfa59d20ee0eb4baa892e412ea682c5f351ddae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8185",
    "kind": "arxiv",
    "version": 1
  }
}