Pith Number

pith:DZ5MITRC

pith:2013:DZ5MITRCI5QCUHKYMUKK5HKKJ4

not attested not anchored not stored refs pending

Derivation of Hartree's theory for generic mean-field Bose systems

Mathieu Lewin (AGM), Nicolas Rougerie (LPMMC), Phan Th\`anh Nam (AGM)

arxiv:1303.0981 v4 · 2013-03-05 · 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{DZ5MITRCI5QCUHKYMUKK5HKKJ4}

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	2026-05-18T03:07:23.608173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e7ac44e2247602a1d586514ae9d4a4f31ba897d34f9737f342dedf5e7b18f25

Aliases

arxiv: 1303.0981 · arxiv_version: 1303.0981v4 · doi: 10.48550/arxiv.1303.0981 · pith_short_12: DZ5MITRCI5QC · pith_short_16: DZ5MITRCI5QCUHKY · pith_short_8: DZ5MITRC

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/DZ5MITRCI5QCUHKYMUKK5HKKJ4 \
  | 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: 1e7ac44e2247602a1d586514ae9d4a4f31ba897d34f9737f342dedf5e7b18f25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "774f967a37865dff08cd50707de6662ee8ff9c6ba3730aee21ba573c330640c4",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-03-05T10:58:48Z",
    "title_canon_sha256": "896d3711b6fdc8d2ce2825a3659194743c3d98722c13a00116b9548060e76772"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0981",
    "kind": "arxiv",
    "version": 4
  }
}