Pith Number

pith:NL64ZYFA

pith:2008:NL64ZYFAGC35OP3VQXPZLIACYX

not attested not anchored not stored refs pending

Mean-field limit and Semiclassical Expansion of a Quantum Particle System

Federica Pezzotti, Mario Pulvirenti

arxiv:0810.1387 v1 · 2008-10-08 · 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{NL64ZYFAGC35OP3VQXPZLIACYX}

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	2026-05-18T02:15:32.574679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6afdcce0a030b7d73f7585df95a002c5f0e58f2789f4fc65201d906fe30cc1a9

Aliases

arxiv: 0810.1387 · arxiv_version: 0810.1387v1 · doi: 10.48550/arxiv.0810.1387 · pith_short_12: NL64ZYFAGC35 · pith_short_16: NL64ZYFAGC35OP3V · pith_short_8: NL64ZYFA

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/NL64ZYFAGC35OP3VQXPZLIACYX \
  | 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: 6afdcce0a030b7d73f7585df95a002c5f0e58f2789f4fc65201d906fe30cc1a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78065f2c241760426e1483463ac8f057f05375f2ddadc76bcc0150364265c173",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-10-08T09:26:42Z",
    "title_canon_sha256": "5bdb9dffda529c95492db1879f9db4bfa8995f68163a04e59e61909f5ff30b85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.1387",
    "kind": "arxiv",
    "version": 1
  }
}