Pith Number

pith:UGTRZOI4

pith:2012:UGTRZOI47AVHXK7KYXEJSRYZUS

not attested not anchored not stored refs pending

Indirect Coulomb Energy for Two-Dimensional Atoms

Mat\v{e}j Tu\v{s}ek, Rafael D. Benguria

arxiv:1205.6926 v2 · 2012-05-31 · math-ph · math.MP · 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{UGTRZOI47AVHXK7KYXEJSRYZUS}

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	2026-05-18T01:57:09.523361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1a71cb91cf82a7babeac5c8994719a49027c279aa396126baa8a26cc34d228e

Aliases

arxiv: 1205.6926 · arxiv_version: 1205.6926v2 · doi: 10.48550/arxiv.1205.6926 · pith_short_12: UGTRZOI47AVH · pith_short_16: UGTRZOI47AVHXK7K · pith_short_8: UGTRZOI4

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/UGTRZOI47AVHXK7KYXEJSRYZUS \
  | 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: a1a71cb91cf82a7babeac5c8994719a49027c279aa396126baa8a26cc34d228e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a18be45feba91cbaf103152b957da274b0457b0520ef9506781b39e6f87a737",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-05-31T09:07:45Z",
    "title_canon_sha256": "cbd4fdc5022cfac9df7b0a24bc4a023ad41649d01e461110abeadf32c110e6b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6926",
    "kind": "arxiv",
    "version": 2
  }
}