Pith Number

pith:B4VV2NCT

pith:1995:B4VV2NCTE4O3YQYTJCDELFV4ZP

not attested not anchored not stored refs pending

Nonlinear Gauge Transformations and Exact Solutions of the Doebner-Goldin Equation

P. Nattermann, W. Scherer

arxiv:quant-ph/9506033 v1 · 1995-06-21 · quant-ph · hep-th · nlin.SI · solv-int

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B4VV2NCTE4O3YQYTJCDELFV4ZP}

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	2026-07-04T15:09:12.048677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f2b5d3453271dbc431348864596bccbed9b4f9848fb283fa0986e29d050ea7c

Aliases

arxiv: quant-ph/9506033 · arxiv_version: quant-ph/9506033v1 · doi: 10.48550/arxiv.quant-ph/9506033 · pith_short_12: B4VV2NCTE4O3 · pith_short_16: B4VV2NCTE4O3YQYT · pith_short_8: B4VV2NCT

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/B4VV2NCTE4O3YQYTJCDELFV4ZP \
  | 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: 0f2b5d3453271dbc431348864596bccbed9b4f9848fb283fa0986e29d050ea7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cf844d2f6285be5885b7849a4fffa541e374cc34c5c896b81b74e984544636f",
    "cross_cats_sorted": [
      "hep-th",
      "nlin.SI",
      "solv-int"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1995-06-21T07:15:48Z",
    "title_canon_sha256": "9640fb2e960a18a37227022d067072dd854463c0073d1ae1cfb4353c2305c2d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9506033",
    "kind": "arxiv",
    "version": 1
  }
}