Pith Number

pith:H24IMKX7

pith:2019:H24IMKX7ZJ3XBCQQXNCMBRTRJ3

not attested not anchored not stored refs pending

Variance reduction for effective energies of random lattices in the Thomas-Fermi-von Weizs\"acker model

Julian Fischer, Michael Kniely

arxiv:1906.12245 v1 · 2019-06-28 · math.AP · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H24IMKX7ZJ3XBCQQXNCMBRTRJ3}

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	2026-05-17T23:41:58.880436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3eb8862affca77708a10bb44c0c6714edc510b74e4a66677e4cae13c81032151

Aliases

arxiv: 1906.12245 · arxiv_version: 1906.12245v1 · doi: 10.48550/arxiv.1906.12245 · pith_short_12: H24IMKX7ZJ3X · pith_short_16: H24IMKX7ZJ3XBCQQ · pith_short_8: H24IMKX7

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/H24IMKX7ZJ3XBCQQXNCMBRTRJ3 \
  | 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: 3eb8862affca77708a10bb44c0c6714edc510b74e4a66677e4cae13c81032151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e18d119ef4b53ac561249e5a9f1333ed3d33cf01ffc47cebd5602930baa9f355",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-28T14:41:41Z",
    "title_canon_sha256": "10801375684c64e14ce96778fdf00ba50fde73fc6e4eeb4077ffc1d780d11b3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.12245",
    "kind": "arxiv",
    "version": 1
  }
}