Pith Number

pith:XNGGIVAZ

pith:2006:XNGGIVAZQMXIWC6VIFRFLJEJCU

not attested not anchored not stored refs pending

Mean-Field- and Classical Limit of Many-Body Schr\"odinger Dynamics for Bosons

(2) Dipartimento di Matematica, ETH Zuerich, Italy), Juerg Froehlich (1), Sandro Graffi (2), Simon Schwarz(1) ((1) Theoretische Physik, Switzerland, Universit\`a di Bologna

arxiv:math-ph/0603055 v1 · 2006-03-22 · 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{XNGGIVAZQMXIWC6VIFRFLJEJCU}

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	2026-05-18T01:08:51.712084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb4c645419832e8b0bd5416255a489153a61a3bb586229fb011b6964461cce1e

Aliases

arxiv: math-ph/0603055 · arxiv_version: math-ph/0603055v1 · doi: 10.48550/arxiv.math-ph/0603055 · pith_short_12: XNGGIVAZQMXI · pith_short_16: XNGGIVAZQMXIWC6V · pith_short_8: XNGGIVAZ

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/XNGGIVAZQMXIWC6VIFRFLJEJCU \
  | 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: bb4c645419832e8b0bd5416255a489153a61a3bb586229fb011b6964461cce1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99aab701374a2e50e508db1708f14bdb53f617c1a20b01d29e4271a20e090d5e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-03-22T20:48:38Z",
    "title_canon_sha256": "379457f963abe6003e08a3af90040b21bed7e2d4957ee00c2326d323ff45a7ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0603055",
    "kind": "arxiv",
    "version": 1
  }
}