Pith Number

pith:YKKAFEB2

pith:2017:YKKAFEB2CDNSOYTSOPQ6PXQSUZ

not attested not anchored not stored refs pending

The Dirac-Frenkel Principle for Reduced Density Matrices, and the Bogoliubov-de-Gennes Equations

Jan Philip Solovej, J\'er\'emy Sok, Niels Benedikter

arxiv:1706.03082 v3 · 2017-06-09 · 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{YKKAFEB2CDNSOYTSOPQ6PXQSUZ}

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	2026-05-18T00:22:29.105689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c29402903a10db27627273e1e7de12a65792c25858724316e91296c4cedd1cc8

Aliases

arxiv: 1706.03082 · arxiv_version: 1706.03082v3 · doi: 10.48550/arxiv.1706.03082 · pith_short_12: YKKAFEB2CDNS · pith_short_16: YKKAFEB2CDNSOYTS · pith_short_8: YKKAFEB2

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/YKKAFEB2CDNSOYTSOPQ6PXQSUZ \
  | 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: c29402903a10db27627273e1e7de12a65792c25858724316e91296c4cedd1cc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76f77391a951e345b5913ca8401a4323f55c5922541852b3aec64b93792443da",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-06-09T18:15:03Z",
    "title_canon_sha256": "46f69179bd5b5471862c982e81bc27f4d9f6f1b6b6ef22b4cdecc468d5d45237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03082",
    "kind": "arxiv",
    "version": 3
  }
}