Pith Number

pith:ZNGYAFIB

pith:2010:ZNGYAFIBMGDK7RKKVB37TVM67F

not attested not anchored not stored refs pending

An explicit Schr\"odinger picture for Aharonov's Modular Variable concept

A. C. Lobo, C. A. Ribeiro

arxiv:1007.1685 v3 · 2010-07-09 · 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{ZNGYAFIBMGDK7RKKVB37TVM67F}

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	2026-05-18T03:37:53.477564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb4d8015016186afc54aa877f9d59ef95e20de2d22703b0bee4c7be903c3bb21

Aliases

arxiv: 1007.1685 · arxiv_version: 1007.1685v3 · doi: 10.48550/arxiv.1007.1685 · pith_short_12: ZNGYAFIBMGDK · pith_short_16: ZNGYAFIBMGDK7RKK · pith_short_8: ZNGYAFIB

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/ZNGYAFIBMGDK7RKKVB37TVM67F \
  | 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: cb4d8015016186afc54aa877f9d59ef95e20de2d22703b0bee4c7be903c3bb21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82a010eb28236373ce8076e79ab5b130108083a27b073b34434d1809fb48386e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-07-09T23:23:25Z",
    "title_canon_sha256": "6113ab76a6b6873343fdfd6235cdc1757f62e90198e0774bdc85a53a188f54b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1685",
    "kind": "arxiv",
    "version": 3
  }
}