Pith Number

pith:OLXMOQ5N

pith:2026:OLXMOQ5NQ73DKW5STMBAMTM7QW

not attested not anchored not stored refs pending

Berry-Heisenberg Random Waves

Anna Paola Todino, Marco Carfagnini

arxiv:2607.08314 v1 · 2026-07-09 · math.PR · 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{OLXMOQ5NQ73DKW5STMBAMTM7QW}

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	2026-07-10T01:19:47.033738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72eec743ad87f6355bb29b02064d9f859680a42904fc45327a59de24f21196ff

Aliases

arxiv: 2607.08314 · arxiv_version: 2607.08314v1 · doi: 10.48550/arxiv.2607.08314 · pith_short_12: OLXMOQ5NQ73D · pith_short_16: OLXMOQ5NQ73DKW5S · pith_short_8: OLXMOQ5N

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/OLXMOQ5NQ73DKW5STMBAMTM7QW \
  | 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: 72eec743ad87f6355bb29b02064d9f859680a42904fc45327a59de24f21196ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae0c7b578bef7c32bfb0799b11248206c9f5115c829785158aca0e08816bb9ba",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-09T09:55:41Z",
    "title_canon_sha256": "dcf7a75d6df01936c87104c5d6a910e50bca97baca3b02c0da0ac94a71fe9327"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08314",
    "kind": "arxiv",
    "version": 1
  }
}