Pith Number

pith:F72QAJIQ

pith:2025:F72QAJIQVRVEHJKW3EY7DV3GEN

not attested not anchored not stored refs pending

Phenomenological quantum mechanics II: deducing the formalism from experimental observations

Dariusz Chru\'sci\'nski, Davide Lonigro, Fattah Sakuldee, {\L}ukasz Cywi\'nski, Piotr Sza\'nkowski

arxiv:2507.04812 v2 · 2025-07-07 · quant-ph · math-ph · math.MP · physics.hist-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{F72QAJIQVRVEHJKW3EY7DV3GEN}

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	2026-07-05T11:33:26.868211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ff5002510ac6a43a556d931f1d7662379242c92577b3d1e4eb1d1daeb3434b0

Aliases

arxiv: 2507.04812 · arxiv_version: 2507.04812v2 · doi: 10.48550/arxiv.2507.04812 · pith_short_12: F72QAJIQVRVE · pith_short_16: F72QAJIQVRVEHJKW · pith_short_8: F72QAJIQ

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/F72QAJIQVRVEHJKW3EY7DV3GEN \
  | 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: 2ff5002510ac6a43a556d931f1d7662379242c92577b3d1e4eb1d1daeb3434b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b89291b7891b4a301bfce40e0ac62d85b69515ffc20dc34b12453c829909c936",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.hist-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-07-07T09:31:32Z",
    "title_canon_sha256": "31b2bc2c14affd6ea0d2b3fc9f3986459948ceffca9a462781da642097d845cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04812",
    "kind": "arxiv",
    "version": 2
  }
}