Pith Number

pith:NUJRNFLS

pith:2013:NUJRNFLSA7P6C3VWSWZ5K7JMA3

not attested not anchored not stored refs pending

Superalgebraically Convergent Smoothly-Windowed Lattice Sums for Doubly Periodic Green Functions in Three-Dimensional Space

Catalin Turc, Oscar P. Bruno, Stephanos Venakides, Stephen P. Shipman

arxiv:1307.1176 v2 · 2013-07-04 · math.AP · math-ph · math.MP · 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{NUJRNFLSA7P6C3VWSWZ5K7JMA3}

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	2026-05-18T01:14:26.349360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d1316957207dfe16eb695b3d57d2c06e58c1a0a6ecf50785ed45bb6afb27a30

Aliases

arxiv: 1307.1176 · arxiv_version: 1307.1176v2 · doi: 10.48550/arxiv.1307.1176 · pith_short_12: NUJRNFLSA7P6 · pith_short_16: NUJRNFLSA7P6C3VW · pith_short_8: NUJRNFLS

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/NUJRNFLSA7P6C3VWSWZ5K7JMA3 \
  | 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: 6d1316957207dfe16eb695b3d57d2c06e58c1a0a6ecf50785ed45bb6afb27a30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb78cf4b2b3a9b486e36d09c1b6d1e8d023db3d6276151d126d24d1bdfb794d6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-04T00:01:14Z",
    "title_canon_sha256": "09e8fedcf5890e288a87152778f230eb4d5e2c9d7c6f837783a49a85549ac7ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1176",
    "kind": "arxiv",
    "version": 2
  }
}