Pith Number

pith:P7IZMB7D

pith:2013:P7IZMB7DUXSSKHLZJRIDYNZBMS

not attested not anchored not stored refs pending

The Peierls-Onsager Effective Hamiltonian in a complete gauge covariant setting: Description of the spectrum

Radu Purice, Viorel Iftimie

arxiv:1304.2496 v2 · 2013-04-09 · math-ph · math.AP · 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{P7IZMB7DUXSSKHLZJRIDYNZBMS}

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	2026-05-18T03:10:58.069870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fd19607e3a5e5251d794c503c372164854eed676a548c99bdd95b511663f9e2

Aliases

arxiv: 1304.2496 · arxiv_version: 1304.2496v2 · doi: 10.48550/arxiv.1304.2496 · pith_short_12: P7IZMB7DUXSS · pith_short_16: P7IZMB7DUXSSKHLZ · pith_short_8: P7IZMB7D

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/P7IZMB7DUXSSKHLZJRIDYNZBMS \
  | 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: 7fd19607e3a5e5251d794c503c372164854eed676a548c99bdd95b511663f9e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3aa0c3672885cb3dfde09c0aec9044bdb529172e41a419ccf2ca6e4841febf1",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-04-09T09:16:37Z",
    "title_canon_sha256": "1c52d9481fb50c4888b4993780a98a228ad0dba3e0bacc618f32b66607927595"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2496",
    "kind": "arxiv",
    "version": 2
  }
}