Pith Number

pith:4TEUFYLY

pith:2001:4TEUFYLYG4VIQ6MHCWHC7CS52T

not attested not anchored not stored refs pending

Impenetrable Barriers and Canonical Quantization

P. Garbaczewski, W. Karwowski

arxiv:math-ph/0104010 v1 · 2001-04-08 · math-ph · math.MP · math.QA · physics.gen-ph · 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{4TEUFYLYG4VIQ6MHCWHC7CS52T}

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	2026-05-18T04:34:18.491829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4c942e178372a887987158e2f8a5dd4f854e2e6f9b4f55980d380341a5d6d8d

Aliases

arxiv: math-ph/0104010 · arxiv_version: math-ph/0104010v1 · doi: 10.48550/arxiv.math-ph/0104010 · pith_short_12: 4TEUFYLYG4VI · pith_short_16: 4TEUFYLYG4VIQ6MH · pith_short_8: 4TEUFYLY

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/4TEUFYLYG4VIQ6MHCWHC7CS52T \
  | 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: e4c942e178372a887987158e2f8a5dd4f854e2e6f9b4f55980d380341a5d6d8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "153246dace71d2d2efde1859c16507bf3d47b9fbc8e8c4f1dad037bbd00ac802",
    "cross_cats_sorted": [
      "math.MP",
      "math.QA",
      "physics.gen-ph",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-04-08T11:34:15Z",
    "title_canon_sha256": "1d5ebecc8891ab8c299ae94da93b1a2895a7ae1b5f0e7ab594683a1471d6dcc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0104010",
    "kind": "arxiv",
    "version": 1
  }
}