Pith Number

pith:45IVJRS4

pith:2008:45IVJRS4ABSXDKCJKG3GYZI4FY

not attested not anchored not stored refs pending

Groups of Operators for Evolution Equations of Quantum Many-Particle Systems

V.I. Gerasimenko

arxiv:0804.1153 v2 · 2008-04-07 · quant-ph · cond-mat.stat-mech · math-ph · math.AP · 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{45IVJRS4ABSXDKCJKG3GYZI4FY}

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	2026-05-18T04:31:21.203052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e75154c65c006571a84951b66c651c2e18c65b31753b76db6261d0bd48001da9

Aliases

arxiv: 0804.1153 · arxiv_version: 0804.1153v2 · doi: 10.48550/arxiv.0804.1153 · pith_short_12: 45IVJRS4ABSX · pith_short_16: 45IVJRS4ABSXDKCJ · pith_short_8: 45IVJRS4

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/45IVJRS4ABSXDKCJKG3GYZI4FY \
  | 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: e75154c65c006571a84951b66c651c2e18c65b31753b76db6261d0bd48001da9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e95b66e07b706470672b043075b921dc0d42f3af976d7aabcb2614315aba6c3",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-04-07T21:37:51Z",
    "title_canon_sha256": "adb4474c0586998b3e981d8c624fc3a201665b0529737e0f24baf07a9b1c6c5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.1153",
    "kind": "arxiv",
    "version": 2
  }
}