Pith Number

pith:UP3BLJ2P

pith:2013:UP3BLJ2PKBIWPJ56RKTD6I46NK

not attested not anchored not stored refs pending

FFTPL: An Analytic Placement Algorithm Using Fast Fourier Transform for Density Equalization

Chin-Chih Chang, Chin-Chi Teng, Chung-Kuan Cheng, Dennis Jen-Hsin Huang, Jingwei Lu, Lu Sha, Pengwen Chen

arxiv:1312.4587 v1 · 2013-12-16 · cs.CE · cs.AR · cs.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{UP3BLJ2PKBIWPJ56RKTD6I46NK}

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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	2026-05-18T03:04:23.558952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3f615a74f505167a7be8aa63f239e6a9797f2267027be1bf599610daacb57d3

Aliases

arxiv: 1312.4587 · arxiv_version: 1312.4587v1 · doi: 10.48550/arxiv.1312.4587 · pith_short_12: UP3BLJ2PKBIW · pith_short_16: UP3BLJ2PKBIWPJ56 · pith_short_8: UP3BLJ2P

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/UP3BLJ2PKBIWPJ56RKTD6I46NK \
  | 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: a3f615a74f505167a7be8aa63f239e6a9797f2267027be1bf599610daacb57d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa64508226e85ea6aa8c483b5b98be035ec3a4f3b2c3946b8e62bf86286bc072",
    "cross_cats_sorted": [
      "cs.AR",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2013-12-16T23:01:46Z",
    "title_canon_sha256": "569372443332ca43447e681988098f99f931acbf6498c56f81d1fb86493c3237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4587",
    "kind": "arxiv",
    "version": 1
  }
}