Pith Number

pith:TY52NST7

pith:1995:TY52NST7QHXQH2ITOHYYIBC4AX

not attested not anchored not stored refs pending

Symmetry, Local Linearization, and Gauge Classification of the Doebner-Goldin Equation

P. Nattermann

arxiv:quant-ph/9506037 v1 · 1995-06-23 · 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{TY52NST7QHXQH2ITOHYYIBC4AX}

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	2026-07-04T15:59:57.151717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e3ba6ca7f81ef03e91371f184045c05eb3fa88b382e87c63684fd1bfc888283

Aliases

arxiv: quant-ph/9506037 · arxiv_version: quant-ph/9506037v1 · doi: 10.48550/arxiv.quant-ph/9506037 · pith_short_12: TY52NST7QHXQ · pith_short_16: TY52NST7QHXQH2IT · pith_short_8: TY52NST7

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/TY52NST7QHXQH2ITOHYYIBC4AX \
  | 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: 9e3ba6ca7f81ef03e91371f184045c05eb3fa88b382e87c63684fd1bfc888283

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00531ef26bcc99896282db16ff6bb680a0b6f31a4977ccf995a5c8e67cf09cc5",
    "cross_cats_sorted": [
      "hep-th",
      "nlin.SI",
      "solv-int"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1995-06-23T12:51:36Z",
    "title_canon_sha256": "ab4267e51e809dda718a07ad1f4ff94af36ec4d8c111a7381da4cc30a3fec1f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9506037",
    "kind": "arxiv",
    "version": 1
  }
}