Pith Number

pith:4JNW4DTA

pith:2009:4JNW4DTARZPWIRGIBR3VHMHGLL

not attested not anchored not stored refs pending

Spectral shift function for operators with crossed magnetic and electric fields

Mouez Dimassi, Vesselin Petkov

arxiv:0907.2164 v4 · 2009-07-13 · math-ph · math.MP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JNW4DTARZPWIRGIBR3VHMHGLL}

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	2026-05-18T02:13:03.515039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e25b6e0e608e5f6444c80c7753b0e65af31607b1d09143ec7cbb7b6ae24f14c6

Aliases

arxiv: 0907.2164 · arxiv_version: 0907.2164v4 · doi: 10.48550/arxiv.0907.2164 · pith_short_12: 4JNW4DTARZPW · pith_short_16: 4JNW4DTARZPWIRGI · pith_short_8: 4JNW4DTA

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/4JNW4DTARZPWIRGIBR3VHMHGLL \
  | 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: e25b6e0e608e5f6444c80c7753b0e65af31607b1d09143ec7cbb7b6ae24f14c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88f1ba0d2fc8a79ca70fd4122b6b25cfbac9dcf778f2b86a9d93bfafe324269b",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-07-13T13:46:29Z",
    "title_canon_sha256": "33a640bd9e5bdacd71d51fe12b74be55e283036203419994780859d53fdfd3f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2164",
    "kind": "arxiv",
    "version": 4
  }
}