Pith Number

pith:JK7MQRGW

pith:2004:JK7MQRGWTNPYZ3LDD4EP2X6IKN

not attested not anchored not stored refs pending

On perturbations of Dirac operators with variable magnetic field of constant direction

Rafael Tiedra de Aldecoa, Serge Richard

arxiv:math-ph/0405013 v1 · 2004-05-05 · 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{JK7MQRGWTNPYZ3LDD4EP2X6IKN}

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	2026-05-18T01:38:33.461258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4abec844d69b5f8ced631f08fd5fc85347e50f64d6bd6679d2c0994365c2fb7e

Aliases

arxiv: math-ph/0405013 · arxiv_version: math-ph/0405013v1 · doi: 10.48550/arxiv.math-ph/0405013 · pith_short_12: JK7MQRGWTNPY · pith_short_16: JK7MQRGWTNPYZ3LD · pith_short_8: JK7MQRGW

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/JK7MQRGWTNPYZ3LDD4EP2X6IKN \
  | 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: 4abec844d69b5f8ced631f08fd5fc85347e50f64d6bd6679d2c0994365c2fb7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "171c283bf31cc0090a0a475efa4dc48bd086c1f44949cb4f9b1d5d2f8ad1e0e0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-05-05T14:04:11Z",
    "title_canon_sha256": "c83786e39043aa8b9e0bff603e7e54459990278cd43d0c07ad6fb9f3c3874133"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0405013",
    "kind": "arxiv",
    "version": 1
  }
}