Pith Number

pith:RJRGS4CV

pith:2002:RJRGS4CVPDK7OHFA2A7BTPR6WM

not attested not anchored not stored refs pending

Mean field dynamics of fermions and the time-dependent Hartree-Fock equation

Alex D. Gottlieb, Claude Bardos, Francois Golse, Norbert J. Mauser

arxiv:math-ph/0204009 v4 · 2002-04-04 · 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{RJRGS4CVPDK7OHFA2A7BTPR6WM}

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	2026-05-18T02:26:24.000923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a6269705578d5f71ca0d03e19be3eb322e77a4ccf1a091fb19e437c9c87cf7d

Aliases

arxiv: math-ph/0204009 · arxiv_version: math-ph/0204009v4 · doi: 10.48550/arxiv.math-ph/0204009 · pith_short_12: RJRGS4CVPDK7 · pith_short_16: RJRGS4CVPDK7OHFA · pith_short_8: RJRGS4CV

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/RJRGS4CVPDK7OHFA2A7BTPR6WM \
  | 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: 8a6269705578d5f71ca0d03e19be3eb322e77a4ccf1a091fb19e437c9c87cf7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "455988e23d912de22dc421d721fd9a2f2ac0f4e69e489dca1b1aac785a808d82",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-04-04T12:32:34Z",
    "title_canon_sha256": "1921d500eb95f35e931333f9936262fd6828204275941e3e3acd8f943cd30a2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0204009",
    "kind": "arxiv",
    "version": 4
  }
}