Pith Number

pith:PPLN5NZJ

pith:2010:PPLN5NZJP6JGQOGNQ7PE5SPFFC

not attested not anchored not stored refs pending

Ewald Sums for One Dimension

Bruce N. Miller, Jean-Louis Rouet

arxiv:1007.3055 v2 · 2010-07-19 · math-ph · astro-ph.CO · cond-mat.stat-mech · 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{PPLN5NZJP6JGQOGNQ7PE5SPFFC}

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	2026-05-18T02:06:20.808082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bd6deb7297f926838cd87de4ec9e528b9433bdbf88fe85b408435cb4b3477d9

Aliases

arxiv: 1007.3055 · arxiv_version: 1007.3055v2 · doi: 10.48550/arxiv.1007.3055 · pith_short_12: PPLN5NZJP6JG · pith_short_16: PPLN5NZJP6JGQOGN · pith_short_8: PPLN5NZJ

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/PPLN5NZJP6JGQOGNQ7PE5SPFFC \
  | 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: 7bd6deb7297f926838cd87de4ec9e528b9433bdbf88fe85b408435cb4b3477d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc57fd6f6110fc3828757a1fd2ba143947f8a4c3a5085b1e020b74e6cd57a27d",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-07-19T02:21:12Z",
    "title_canon_sha256": "1e7ec353babd069d0782cbd43e80c147f4edfbf07bf4f9d72cffd518f051df4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3055",
    "kind": "arxiv",
    "version": 2
  }
}