Pith Number

pith:2NPILQM6

pith:2003:2NPILQM6MVMYKJIH4LDS7CWVIF

not attested not anchored not stored refs pending

Time-Dependent Hilbert Spaces, Geometric Phases, and General Covariance in Quantum Mechanics

Ali Mostafazadeh

arxiv:quant-ph/0306200 v2 · 2003-06-30 · quant-ph · gr-qc · hep-th · 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{2NPILQM6MVMYKJIH4LDS7CWVIF}

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	2026-05-18T01:37:59.276193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d35e85c19e6559852507e2c72f8ad54175b5afb5e0e5b85f1f84fc5fa87790ed

Aliases

arxiv: quant-ph/0306200 · arxiv_version: quant-ph/0306200v2 · doi: 10.48550/arxiv.quant-ph/0306200 · pith_short_12: 2NPILQM6MVMY · pith_short_16: 2NPILQM6MVMYKJIH · pith_short_8: 2NPILQM6

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/2NPILQM6MVMYKJIH4LDS7CWVIF \
  | 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: d35e85c19e6559852507e2c72f8ad54175b5afb5e0e5b85f1f84fc5fa87790ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb7c2deec8a6e5df943673166afdce84ceb8d3c4d669c13aba179d555d2da9da",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-06-30T09:49:32Z",
    "title_canon_sha256": "ecadc491e583ec982a0deb8094086427677f3a806614daf03fb1ec3ecbec9604"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0306200",
    "kind": "arxiv",
    "version": 2
  }
}