Pith Number

pith:ZJT4KHI4

pith:2011:ZJT4KHI4WZDC5T6UU2SRNI7QBT

not attested not anchored not stored refs pending

An O(N) Method for Rapidly Computing Periodic Potentials Using Accelerated Cartesian Expansions

Andrew D. Baczewski, Balasubramaniam Shanker

arxiv:1107.3069 v1 · 2011-07-15 · physics.comp-ph · 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{ZJT4KHI4WZDC5T6UU2SRNI7QBT}

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	2026-05-18T04:18:14.815014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca67c51d1cb6462ecfd4a6a516a3f00cf11d924a13b9b021e48c959bf469515f

Aliases

arxiv: 1107.3069 · arxiv_version: 1107.3069v1 · doi: 10.48550/arxiv.1107.3069 · pith_short_12: ZJT4KHI4WZDC · pith_short_16: ZJT4KHI4WZDC5T6U · pith_short_8: ZJT4KHI4

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/ZJT4KHI4WZDC5T6UU2SRNI7QBT \
  | 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: ca67c51d1cb6462ecfd4a6a516a3f00cf11d924a13b9b021e48c959bf469515f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "782d02c1bc13e93cc7504e015654f58112231814be6469c34a71022863bba539",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2011-07-15T14:02:28Z",
    "title_canon_sha256": "1a4634fb4a1297d51f29fa52930e82d64fb8cd22947b85a7c45dc2d896eba585"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3069",
    "kind": "arxiv",
    "version": 1
  }
}