Pith Number

pith:HMK6M2EY

pith:2022:HMK6M2EYAWFLDVD5MA6K57UEYK

not attested not anchored not stored refs pending

Improved Lieb-Oxford bound on the indirect and exchange energies

Elliott H. Lieb, Mathieu Lewin, Robert Seiringer

arxiv:2203.12473 v3 · 2022-03-23 · math-ph · cond-mat.stat-mech · 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{HMK6M2EYAWFLDVD5MA6K57UEYK}

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	2026-07-05T08:00:30.114869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b15e66898058ab1d47d603caefe84c295e0a25b2c141221e709cb123d048b56

Aliases

arxiv: 2203.12473 · arxiv_version: 2203.12473v3 · doi: 10.48550/arxiv.2203.12473 · pith_short_12: HMK6M2EYAWFL · pith_short_16: HMK6M2EYAWFLDVD5 · pith_short_8: HMK6M2EY

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/HMK6M2EYAWFLDVD5MA6K57UEYK \
  | 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: 3b15e66898058ab1d47d603caefe84c295e0a25b2c141221e709cb123d048b56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "752c08c8390e873d312d039446b8994cfd3e452f3df4d207e6451039f2211324",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-03-23T15:10:16Z",
    "title_canon_sha256": "cbafabb64b33aa846277f77d403d35be8c37cbebe028992da17033d21dc0e71d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.12473",
    "kind": "arxiv",
    "version": 3
  }
}