Pith Number

pith:4CVGE4XR

pith:2000:4CVGE4XR5MBKIFTR2IAXDIDN5P

not attested not anchored not stored refs pending

Avoided crossings in mesoscopic systems: electron propagation on a non-uniform magnetic cylinder

Alain Joye, Pavel Exner

arxiv:math-ph/0010042 v1 · 2000-10-25 · 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{4CVGE4XR5MBKIFTR2IAXDIDN5P}

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	2026-05-18T01:38:34.617863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0aa6272f1eb02a41671d20171a06debcd15ec4d62817d07576babd56520c8af

Aliases

arxiv: math-ph/0010042 · arxiv_version: math-ph/0010042v1 · doi: 10.48550/arxiv.math-ph/0010042 · pith_short_12: 4CVGE4XR5MBK · pith_short_16: 4CVGE4XR5MBKIFTR · pith_short_8: 4CVGE4XR

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/4CVGE4XR5MBKIFTR2IAXDIDN5P \
  | 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: e0aa6272f1eb02a41671d20171a06debcd15ec4d62817d07576babd56520c8af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7012d596687cb437a1e2b7cac594f282122625ee12c3febc938b118d184097b4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-10-25T12:34:49Z",
    "title_canon_sha256": "74c366e81cd811ef7155d321d8f457e582e2dfae81d3d0defef63d504ec7f19a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0010042",
    "kind": "arxiv",
    "version": 1
  }
}