Pith Number

pith:JA77KWZK

pith:2019:JA77KWZKYYWYBZXL2UKGL3F24D

not attested not anchored not stored refs pending

Variable Planck's constant and scaling properties of states on Weyl algebra

Andrzej Frydryszak, Lech Jak\'obczyk, Piotr {\L}ugiewicz

arxiv:1907.08644 v1 · 2019-07-19 · 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{JA77KWZKYYWYBZXL2UKGL3F24D}

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	2026-05-17T23:40:08.307074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

483ff55b2ac62d80e6ebd51465ecbae0d0b8e9d8e62486fdc4e3b3f6c2011bbb

Aliases

arxiv: 1907.08644 · arxiv_version: 1907.08644v1 · doi: 10.48550/arxiv.1907.08644 · pith_short_12: JA77KWZKYYWY · pith_short_16: JA77KWZKYYWYBZXL · pith_short_8: JA77KWZK

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/JA77KWZKYYWYBZXL2UKGL3F24D \
  | 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: 483ff55b2ac62d80e6ebd51465ecbae0d0b8e9d8e62486fdc4e3b3f6c2011bbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6366f1053f967b6592bd707a2e41acf8fa02e00092a30c6c3728e2aa79ebfbd0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-07-19T18:44:07Z",
    "title_canon_sha256": "3bb269aac9cb1f97332869d400d4a9c93234e56e7c492e0548c6ae60338e926f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08644",
    "kind": "arxiv",
    "version": 1
  }
}