Pith Number

pith:O2EIFCSH

pith:2017:O2EIFCSHDTGF6BCG35ZKTQBP6D

not attested not anchored not stored refs pending

Equality of the Jellium and Uniform Electron Gas next-order asymptotic terms for Coulomb and Riesz potentials

Codina Cotar, Mircea Petrache

arxiv:1707.07664 v5 · 2017-07-24 · math-ph · math.AP · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O2EIFCSHDTGF6BCG35ZKTQBP6D}

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	2026-05-17T23:49:53.210375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7688828a471ccc5f0446df72a9c02ff0e1c5d879fdff47cbe23c2afe0c6492fc

Aliases

arxiv: 1707.07664 · arxiv_version: 1707.07664v5 · doi: 10.48550/arxiv.1707.07664 · pith_short_12: O2EIFCSHDTGF · pith_short_16: O2EIFCSHDTGF6BCG · pith_short_8: O2EIFCSH

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/O2EIFCSHDTGF6BCG35ZKTQBP6D \
  | 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: 7688828a471ccc5f0446df72a9c02ff0e1c5d879fdff47cbe23c2afe0c6492fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a106fb47fdf0b4b51df0956b055e7e7fcd2c6ae92464cfc58aa4140962cda703",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-07-24T17:53:45Z",
    "title_canon_sha256": "4666ecf213cf5e460ae1df88375ee8c538557a8e99e65be59caee612597bc564"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07664",
    "kind": "arxiv",
    "version": 5
  }
}