Pith Number

pith:Q2VN64MR

pith:2015:Q2VN64MR4PEIHFQPNDNHLHQVNB

not attested not anchored not stored refs pending

Fast and Efficient Sparse 2D Discrete Fourier Transform using Sparse-Graph Codes

Frank Ong, Kannan Ramchandran, Sameer Pawar

arxiv:1509.05849 v1 · 2015-09-19 · cs.IT · cs.MM · cs.SY · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q2VN64MR4PEIHFQPNDNHLHQVNB}

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	2026-05-18T01:32:36.529990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86aadf7191e3c883960f68da759e15686e5602882adf1438d477f98a225afd9a

Aliases

arxiv: 1509.05849 · arxiv_version: 1509.05849v1 · doi: 10.48550/arxiv.1509.05849 · pith_short_12: Q2VN64MR4PEI · pith_short_16: Q2VN64MR4PEIHFQP · pith_short_8: Q2VN64MR

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/Q2VN64MR4PEIHFQPNDNHLHQVNB \
  | 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: 86aadf7191e3c883960f68da759e15686e5602882adf1438d477f98a225afd9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcd04cdbb4a50b4055990e057d92ea0913cca7d02231e22e90e687967584535f",
    "cross_cats_sorted": [
      "cs.MM",
      "cs.SY",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-09-19T05:56:00Z",
    "title_canon_sha256": "e8744a4b74e3949d28a89575a70a0a302d8191054e66ed1689d168f40b8f359e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05849",
    "kind": "arxiv",
    "version": 1
  }
}