Pith Number

pith:WCGSRHOY

pith:1998:WCGSRHOYXO2FCXJ4BPRQ7KYUB7

not attested not anchored not stored refs pending

Stability of driven systems with growing gaps, Quantum rings and Wannier ladders

Joachim Asch, Pavel Exner, Pierre Duclos

arxiv:math-ph/9807025 v1 · 1998-07-23 · math-ph · cond-mat.mes-hall · 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{WCGSRHOYXO2FCXJ4BPRQ7KYUB7}

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	2026-05-18T01:38:30.751417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b08d289dd8bbb4515d3c0be30fab140fcddbfc3b4edde0e9fa7bc4d1751c10d3

Aliases

arxiv: math-ph/9807025 · arxiv_version: math-ph/9807025v1 · doi: 10.48550/arxiv.math-ph/9807025 · pith_short_12: WCGSRHOYXO2F · pith_short_16: WCGSRHOYXO2FCXJ4 · pith_short_8: WCGSRHOY

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/WCGSRHOYXO2FCXJ4BPRQ7KYUB7 \
  | 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: b08d289dd8bbb4515d3c0be30fab140fcddbfc3b4edde0e9fa7bc4d1751c10d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5595c5ad7fe489e3bd17ab5c80f8765dcc6f08ec6af00370ea4d4d0c4c112373",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1998-07-23T17:31:59Z",
    "title_canon_sha256": "389de9e72665f4b3af1b830e5fef3376ad4992676e5e0ecf555b032fff6af935"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9807025",
    "kind": "arxiv",
    "version": 1
  }
}