Pith Number

pith:3ZH72N26

pith:2011:3ZH72N26YR5WEBPDV4JAZWT6DE

not attested not anchored not stored refs pending

A New Estimate on the Two-Dimensional Indirect Coulomb Energy

Matej Tusek, Pablo Gallegos, Rafael D. Benguria

arxiv:1106.5772 v5 · 2011-06-28 · 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{3ZH72N26YR5WEBPDV4JAZWT6DE}

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	2026-05-18T02:01:27.363083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de4ffd375ec47b6205e3af120cda7e1917fff8c999b36e718e51fde65977bb27

Aliases

arxiv: 1106.5772 · arxiv_version: 1106.5772v5 · doi: 10.48550/arxiv.1106.5772 · pith_short_12: 3ZH72N26YR5W · pith_short_16: 3ZH72N26YR5WEBPD · pith_short_8: 3ZH72N26

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/3ZH72N26YR5WEBPDV4JAZWT6DE \
  | 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: de4ffd375ec47b6205e3af120cda7e1917fff8c999b36e718e51fde65977bb27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0680ee5addcd2bb655f7ed8702b3e89e45107a8f9f750e976dca133ac1c4f07f",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-28T19:23:06Z",
    "title_canon_sha256": "0c6a97e98aac17d453cc9f3983329b92fad7ddfaae0db06b8d87417a96dadd20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5772",
    "kind": "arxiv",
    "version": 5
  }
}