Pith Number

pith:55XTUR3I

pith:2013:55XTUR3IGIQDSMVIHR4WA37ZWY

not attested not anchored not stored refs pending

Mean field limit of bosonic systems in partially factorized states and their linear combinations

Marco Falconi

arxiv:1305.5699 v1 · 2013-05-24 · 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{55XTUR3IGIQDSMVIHR4WA37ZWY}

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	2026-05-18T03:25:03.475498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef6f3a476832203932a83c79606ff9b63ebb1367bdcc51b7395f80d348db6dce

Aliases

arxiv: 1305.5699 · arxiv_version: 1305.5699v1 · doi: 10.48550/arxiv.1305.5699 · pith_short_12: 55XTUR3IGIQD · pith_short_16: 55XTUR3IGIQDSMVI · pith_short_8: 55XTUR3I

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/55XTUR3IGIQDSMVIHR4WA37ZWY \
  | 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: ef6f3a476832203932a83c79606ff9b63ebb1367bdcc51b7395f80d348db6dce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c1880c3ec8822560693a35d5cd5d1e92934851bf153a59c4571107769fa76dc",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-05-24T11:52:05Z",
    "title_canon_sha256": "c6765e183cd0b419599266be727abff4a59a72dd3cc8d7dfef77c8a0b4fee08c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5699",
    "kind": "arxiv",
    "version": 1
  }
}