Pith Number

pith:PSWOUUKG

pith:2005:PSWOUUKGUOJ5U7RHKWATGRYNI5

not attested not anchored not stored refs pending

Lifshitz Tails in Constant Magnetic Fields

Fr\'ed\'eric Klopp (LAGA), Georgi Raikov

arxiv:math-ph/0509022 v1 · 2005-09-12 · 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{PSWOUUKGUOJ5U7RHKWATGRYNI5}

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	2026-05-18T01:08:51.742202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cacea5146a393da7e27558133470d4772d8e8ee6f1d00fba7b0b31a347bd188

Aliases

arxiv: math-ph/0509022 · arxiv_version: math-ph/0509022v1 · doi: 10.48550/arxiv.math-ph/0509022 · pith_short_12: PSWOUUKGUOJ5 · pith_short_16: PSWOUUKGUOJ5U7RH · pith_short_8: PSWOUUKG

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/PSWOUUKGUOJ5U7RHKWATGRYNI5 \
  | 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: 7cacea5146a393da7e27558133470d4772d8e8ee6f1d00fba7b0b31a347bd188

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e491855e5d66f23dec347c9eaa5eeed82091a7acb04864db42522f957499089d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-09-12T15:22:18Z",
    "title_canon_sha256": "acd5f2875935bbad7060fb98a8a8319ed731795dd4897a41e690dadd1cacfa32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0509022",
    "kind": "arxiv",
    "version": 1
  }
}