Pith Number

pith:M7SWRJWW

pith:2005:M7SWRJWWJ5N34L2IOXYYUSX4G6

not attested not anchored not stored refs pending

Localization for free ultrametric quantum particle

A.Yu. Khrennikov, S.V. Kozyrev

arxiv:quant-ph/0508213 v2 · 2005-08-29 · 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{M7SWRJWWJ5N34L2IOXYYUSX4G6}

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	2026-05-18T04:15:19.162508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67e568a6d64f5bbe2f4875f18a4afc37bf1b6f927ce073da5b64a8cf72cfb233

Aliases

arxiv: quant-ph/0508213 · arxiv_version: quant-ph/0508213v2 · doi: 10.48550/arxiv.quant-ph/0508213 · pith_short_12: M7SWRJWWJ5N3 · pith_short_16: M7SWRJWWJ5N34L2I · pith_short_8: M7SWRJWW

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/M7SWRJWWJ5N34L2IOXYYUSX4G6 \
  | 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: 67e568a6d64f5bbe2f4875f18a4afc37bf1b6f927ce073da5b64a8cf72cfb233

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79326f931c1ed082c2c02e2b61f8f47d3642e67bd84d18fda477e65a4713f9d9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-08-29T08:57:06Z",
    "title_canon_sha256": "8f2536d1cce8f0d3fecf97875e3577d41d1e24748864ed81e17753c13a5d245d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0508213",
    "kind": "arxiv",
    "version": 2
  }
}