Pith Number

pith:3V4VXCED

pith:2004:3V4VXCEDR45A4FZW3XMKKEUXOI

not attested not anchored not stored refs pending

Existence of a stable polarized vacuum in the Bogoliubov-Dirac-Fock approximation

Christian Hainzl, Eric Sere, Mathieu Lewin

arxiv:math-ph/0403005 v3 · 2004-03-04 · 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{3V4VXCEDR45A4FZW3XMKKEUXOI}

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.

Cited by

1 paper in Pith

Geometric theory of constrained Schr\"odinger dynamics with application to time-dependent density-functional theory on a finite lattice

Receipt and verification

First computed	2026-07-04T16:49:09.849223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd795b88838f3a0e1736ddd8a51297721fde0f17494d939b016051763d489bbd

Aliases

arxiv: math-ph/0403005 · arxiv_version: math-ph/0403005v3 · doi: 10.48550/arxiv.math-ph/0403005 · pith_short_12: 3V4VXCEDR45A · pith_short_16: 3V4VXCEDR45A4FZW · pith_short_8: 3V4VXCED

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/3V4VXCEDR45A4FZW3XMKKEUXOI \
  | 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: dd795b88838f3a0e1736ddd8a51297721fde0f17494d939b016051763d489bbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dadb223d12eb698cdb1f571160d4cc97b931fa42f838c98667a6456ea425e7bc",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-03-04T14:13:09Z",
    "title_canon_sha256": "0f2c79bc17b1663c26e11c7c93879faaee9b06964773f6f2e305e39d9b0f51c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0403005",
    "kind": "arxiv",
    "version": 3
  }
}