Pith Number

pith:N6Y6Z34W

pith:2001:N6Y6Z34WNPYOIXPYVSUEBYDJGD

not attested not anchored not stored refs pending

Covariant localizations in the torus and the phase observables

E. De Vito, G. Cassinelli, J.-P. Pellonpaa, P. Lahti

arxiv:quant-ph/0105079 v1 · 2001-05-17 · 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{N6Y6Z34WNPYOIXPYVSUEBYDJGD}

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	2026-05-18T01:38:02.704888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fb1ecef966bf0e45df8aca840e06930e5b043f84f7dd6d01c4ca3b886eb781c

Aliases

arxiv: quant-ph/0105079 · arxiv_version: quant-ph/0105079v1 · doi: 10.48550/arxiv.quant-ph/0105079 · pith_short_12: N6Y6Z34WNPYO · pith_short_16: N6Y6Z34WNPYOIXPY · pith_short_8: N6Y6Z34W

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/N6Y6Z34WNPYOIXPYVSUEBYDJGD \
  | 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: 6fb1ecef966bf0e45df8aca840e06930e5b043f84f7dd6d01c4ca3b886eb781c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85493307907e0a2349896598f14eec78347211c514ee8e4d041e337af041aaca",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-05-17T10:56:04Z",
    "title_canon_sha256": "a00df757b302b14499f02161f0a644ab0047c6a4997f3667d3bb1f6e73e4ac70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0105079",
    "kind": "arxiv",
    "version": 1
  }
}