Pith Number

pith:7WFZZMDF

pith:2014:7WFZZMDFQA2UAYKTR7ZPLYVJ55

not attested not anchored not stored refs pending

Improved Lieb-Oxford exchange-correlation inequality with gradient correction

Elliott H. Lieb, Mathieu Lewin

arxiv:1408.3358 v5 · 2014-08-14 · math-ph · math.MP · physics.chem-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7WFZZMDFQA2UAYKTR7ZPLYVJ55}

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	2026-05-18T02:27:29.165262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd8b9cb06580354061538ff2f5e2a9ef47feae20cde19ca3f35c2e3cc318382b

Aliases

arxiv: 1408.3358 · arxiv_version: 1408.3358v5 · doi: 10.48550/arxiv.1408.3358 · pith_short_12: 7WFZZMDFQA2U · pith_short_16: 7WFZZMDFQA2UAYKT · pith_short_8: 7WFZZMDF

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/7WFZZMDFQA2UAYKTR7ZPLYVJ55 \
  | 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: fd8b9cb06580354061538ff2f5e2a9ef47feae20cde19ca3f35c2e3cc318382b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1813e7e33065083b54837f01db6c32353b3bc4ccbb136483cb9c02503841f186",
    "cross_cats_sorted": [
      "math.MP",
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-08-14T17:36:34Z",
    "title_canon_sha256": "d2dd9623390c410d639c4831d16b720727e2036c6c3f56cf2e9c5a9af2614675"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3358",
    "kind": "arxiv",
    "version": 5
  }
}