Pith Number

pith:XLG7YIMY

pith:2016:XLG7YIMYHNP6CUV4YKTVZWU3U5

not attested not anchored not stored refs pending

The Two-Modular Fourier Transform of Binary Functions

Emanuele Viterbo, Jean-Claude Belfiore, Yi Hong

arxiv:1603.06173 v2 · 2016-03-20 · cs.IT · 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{XLG7YIMYHNP6CUV4YKTVZWU3U5}

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	2026-05-18T00:58:09.548528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bacdfc21983b5fe152bcc2a75cda9ba7528ae9d7e14615aba1f331714454ae30

Aliases

arxiv: 1603.06173 · arxiv_version: 1603.06173v2 · doi: 10.48550/arxiv.1603.06173 · pith_short_12: XLG7YIMYHNP6 · pith_short_16: XLG7YIMYHNP6CUV4 · pith_short_8: XLG7YIMY

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/XLG7YIMYHNP6CUV4YKTVZWU3U5 \
  | 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: bacdfc21983b5fe152bcc2a75cda9ba7528ae9d7e14615aba1f331714454ae30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a0366b11b3ff041c84998c8c47b4a496e169a7877d43483b1b1bef31d06b168",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-03-20T02:11:32Z",
    "title_canon_sha256": "d441fcef2a00c279ed5f10693fafa8082018f2b32fd9bed2c1f099fb925bd6ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06173",
    "kind": "arxiv",
    "version": 2
  }
}