Pith Number

pith:5DQYV7RK

pith:2013:5DQYV7RKWNFYIYB6M62JESOEZE

not attested not anchored not stored refs pending

On lattices with finite Coulombian interaction energy in the plane

Etienne Sandier, Yuxin Ge

arxiv:1307.2621 v1 · 2013-07-09 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5DQYV7RKWNFYIYB6M62JESOEZE}

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	2026-05-18T03:18:50.904946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8e18afe2ab34b84603e67b49249c4c90f1ad6397830b569adf1c9ca29b1263a

Aliases

arxiv: 1307.2621 · arxiv_version: 1307.2621v1 · doi: 10.48550/arxiv.1307.2621 · pith_short_12: 5DQYV7RKWNFY · pith_short_16: 5DQYV7RKWNFYIYB6 · pith_short_8: 5DQYV7RK

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/5DQYV7RKWNFYIYB6M62JESOEZE \
  | 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: e8e18afe2ab34b84603e67b49249c4c90f1ad6397830b569adf1c9ca29b1263a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95734a78b4de647bc995685377e70166b2d4d946f2c26848e5d2c861538b2169",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-09T22:57:12Z",
    "title_canon_sha256": "3acf3abefa9bf8657c78e835baac831c5f6c8d35306e35db1146df79857c998d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2621",
    "kind": "arxiv",
    "version": 1
  }
}