Pith Number

pith:6R3RLIDP

pith:2026:6R3RLIDPLWLUX3KQ7ESWY2Y6H7

not attested not anchored not stored refs pending

Gradient expansion approximation of the inhomogeneous electron-gas revisited: Higher-order corrections

Angel Rosado, Efstratios Manousakis, Mario Benites

arxiv:2608.02524 v1 · 2026-08-03 · cond-mat.mtrl-sci · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6R3RLIDPLWLUX3KQ7ESWY2Y6H7}

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	2026-08-04T02:43:55.465160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f47715a06f5d974bed50f9256c6b1e3fd82f4379a8d52583d1b96bfce159de45

Aliases

arxiv: 2608.02524 · arxiv_version: 2608.02524v1 · doi: 10.48550/arxiv.2608.02524 · pith_short_12: 6R3RLIDPLWLU · pith_short_16: 6R3RLIDPLWLUX3KQ · pith_short_8: 6R3RLIDP

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/6R3RLIDPLWLUX3KQ7ESWY2Y6H7 \
  | 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: f47715a06f5d974bed50f9256c6b1e3fd82f4379a8d52583d1b96bfce159de45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11b662ea080ef33ee4a5d65726a82fce65c6769966662db895aa1384f4faffb6",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2026-08-03T17:20:59Z",
    "title_canon_sha256": "174db0c00fe760e4657cbb028cfa2d8ab25b302e4cf5c6f01cf98b1f728c4338"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02524",
    "kind": "arxiv",
    "version": 1
  }
}