Pith Number

pith:3EWEN3EM

pith:2016:3EWEN3EMUPAQAF7QJZRPBBOXAF

not attested not anchored not stored refs pending

The maximal excess charge in M\"uller density-matrix-functional theory

Hanne Van Den Bosch, Phan Th\`anh Nam, Rupert L. Frank

arxiv:1608.05625 v1 · 2016-08-19 · 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{3EWEN3EMUPAQAF7QJZRPBBOXAF}

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	2026-05-18T01:08:28.026883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d92c46ec8ca3c10017f04e62f085d70159193a975574f1978a27745ec80cbf7e

Aliases

arxiv: 1608.05625 · arxiv_version: 1608.05625v1 · doi: 10.48550/arxiv.1608.05625 · pith_short_12: 3EWEN3EMUPAQ · pith_short_16: 3EWEN3EMUPAQAF7Q · pith_short_8: 3EWEN3EM

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/3EWEN3EMUPAQAF7QJZRPBBOXAF \
  | 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: d92c46ec8ca3c10017f04e62f085d70159193a975574f1978a27745ec80cbf7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e684836fa43a693431f69570db872bac04149f4f73c5ecb7cbcaae194a2d021",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-08-19T14:56:55Z",
    "title_canon_sha256": "8c583c6dd7a86afe7be4d978cc3159f3c9229957ccb6dc1cf5f4fde1ead9b3fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05625",
    "kind": "arxiv",
    "version": 1
  }
}