Pith Number

pith:5AIPB7FM

pith:2004:5AIPB7FMPZNE7WBENSZEQ2MDUL

not attested not anchored not stored refs pending

The dressed nonrelativistic electron in a magnetic field

B. Grebert, J.-C. Guillot, L. Amour

arxiv:math-ph/0412069 v2 · 2004-12-20 · 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{5AIPB7FMPZNE7WBENSZEQ2MDUL}

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	2026-07-04T14:50:05.784923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e810f0fcac7e5a4fd8246cb2486983a2fcca037aaeb23fd315deae60445b1fc0

Aliases

arxiv: math-ph/0412069 · arxiv_version: math-ph/0412069v2 · doi: 10.48550/arxiv.math-ph/0412069 · pith_short_12: 5AIPB7FMPZNE · pith_short_16: 5AIPB7FMPZNE7WBE · pith_short_8: 5AIPB7FM

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/5AIPB7FMPZNE7WBENSZEQ2MDUL \
  | 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: e810f0fcac7e5a4fd8246cb2486983a2fcca037aaeb23fd315deae60445b1fc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe7c323ed6f406d012ef4d9e43b3a83d2777b31ed492e11502e96501bc0b6c11",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-12-20T15:49:10Z",
    "title_canon_sha256": "a2460e9d8493b37c10978de696efe3332929994e75d1dc55caee9cf0d2ec8474"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0412069",
    "kind": "arxiv",
    "version": 2
  }
}