Pith Number

pith:5KKTRHZ6

pith:2020:5KKTRHZ6MZKACV6F2NJRWVQANK

not attested not anchored not stored refs pending

Dirac-Coulomb operators with general charge distribution. I. Distinguished extension and min-max formulas

\'Eric S\'er\'e, Maria J. Esteban, Mathieu Lewin

arxiv:2003.04004 v2 · 2020-03-09 · math.SP · 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{5KKTRHZ6MZKACV6F2NJRWVQANK}

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	2026-07-05T07:08:38.472233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea95389f3e66540157c5d3531b56006a9f04aab70088835e39317186f857d8c6

Aliases

arxiv: 2003.04004 · arxiv_version: 2003.04004v2 · doi: 10.48550/arxiv.2003.04004 · pith_short_12: 5KKTRHZ6MZKA · pith_short_16: 5KKTRHZ6MZKACV6F · pith_short_8: 5KKTRHZ6

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/5KKTRHZ6MZKACV6F2NJRWVQANK \
  | 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: ea95389f3e66540157c5d3531b56006a9f04aab70088835e39317186f857d8c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3eb21bcee7d3769ab39f656d4caf6ec515ba66ed782e7fcab0a71f4bab43d672",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2020-03-09T09:48:52Z",
    "title_canon_sha256": "0f5410c674b7302c234d3c369193cc35218627120565a6400abad30dd9db74b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.04004",
    "kind": "arxiv",
    "version": 2
  }
}