Pith Number

pith:MHZNDIFG

pith:2013:MHZNDIFGOXB2XDTQPRJ3G3YXGD

not attested not anchored not stored refs pending

Fluctuations around Hartree states in the mean-field regime

Benjamin Schlein, Mathieu Lewin, Phan Th\`anh Nam

arxiv:1307.0665 v3 · 2013-07-02 · 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{MHZNDIFGOXB2XDTQPRJ3G3YXGD}

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	2026-05-18T01:37:08.105683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61f2d1a0a675c3ab8e707c53b36f1730f784c78fa8c59e95d194b93f5e484e81

Aliases

arxiv: 1307.0665 · arxiv_version: 1307.0665v3 · doi: 10.48550/arxiv.1307.0665 · pith_short_12: MHZNDIFGOXB2 · pith_short_16: MHZNDIFGOXB2XDTQ · pith_short_8: MHZNDIFG

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/MHZNDIFGOXB2XDTQPRJ3G3YXGD \
  | 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: 61f2d1a0a675c3ab8e707c53b36f1730f784c78fa8c59e95d194b93f5e484e81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6409900108e3d94ece0ad4c43edb877305126bf9e391491ac9dc41d3ceeb3ae",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-02T10:21:36Z",
    "title_canon_sha256": "75a2395a54f43ecb7310c776a4e2816d1873140e1950ef0032b0a5bc6ded0721"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0665",
    "kind": "arxiv",
    "version": 3
  }
}