Pith Number

pith:U7AXGBHK

pith:2019:U7AXGBHK2RZT4A5G4MH3X7E7DB

not attested not anchored not stored refs pending

The Local Density Approximation in Density Functional Theory

Elliott H. Lieb, Mathieu Lewin, Robert Seiringer

arxiv:1903.04046 v2 · 2019-03-10 · math-ph · cond-mat.stat-mech · math.MP · physics.chem-ph · quant-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{U7AXGBHK2RZT4A5G4MH3X7E7DB}

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	2026-07-05T00:18:33.768881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7c17304ead4733e03a6e30fbbfc9f18414393f7b7e655496141b42db61cf2f2

Aliases

arxiv: 1903.04046 · arxiv_version: 1903.04046v2 · doi: 10.48550/arxiv.1903.04046 · pith_short_12: U7AXGBHK2RZT · pith_short_16: U7AXGBHK2RZT4A5G · pith_short_8: U7AXGBHK

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/U7AXGBHK2RZT4A5G4MH3X7E7DB \
  | 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: a7c17304ead4733e03a6e30fbbfc9f18414393f7b7e655496141b42db61cf2f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abb09f7cc17ce48789fa9015cd92b3b1f524b557f6036c8067a0ef8b70e31a2d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "physics.chem-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-03-10T19:31:17Z",
    "title_canon_sha256": "6953f976ac13fb83da588b2233efe3bef724fd2acd714beff6d90d21ccf82243"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.04046",
    "kind": "arxiv",
    "version": 2
  }
}