Pith Number

pith:7G6BV5CF

pith:2026:7G6BV5CFOU7OWGUOKJPM5JQ54F

not attested not anchored not stored refs pending

Finite Quantum Histories: Holonomy Spectra, Minimal Clocks, and Exact Clock-Change Covariance

Maxim V. Churilov

arxiv:2608.05748 v1 · 2026-08-06 · quant-ph · gr-qc · 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{7G6BV5CFOU7OWGUOKJPM5JQ54F}

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	2026-08-07T00:52:28.206024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9bc1af445753eeb1a8e525ecea61de16097474e3941e36a3c253385229e54e2

Aliases

arxiv: 2608.05748 · arxiv_version: 2608.05748v1 · doi: 10.48550/arxiv.2608.05748 · pith_short_12: 7G6BV5CFOU7O · pith_short_16: 7G6BV5CFOU7OWGUO · pith_short_8: 7G6BV5CF

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/7G6BV5CFOU7OWGUOKJPM5JQ54F \
  | 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: f9bc1af445753eeb1a8e525ecea61de16097474e3941e36a3c253385229e54e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79a36b5d10314b2dcd9b05164144cfab8842f1a95f904787db3e9354db98b369",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-06T08:33:24Z",
    "title_canon_sha256": "70ae20903360fb67ba2d6f3ad9af24024960be905823a15c455e8d126a8df9a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05748",
    "kind": "arxiv",
    "version": 1
  }
}