Pith Number

pith:G2BF5DJM

pith:2018:G2BF5DJMAN462IBJFBTZTSXXYZ

not attested not anchored not stored refs pending

Dirac brushes (or, the fractional Fourier transform of Dirac combs)

Joe Viola

arxiv:1812.05346 v1 · 2018-12-13 · math.CA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G2BF5DJMAN462IBJFBTZTSXXYZ}

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	2026-05-17T23:58:23.666657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36825e8d2c0379ed2029286799caf7c6763ff08daa505988eaa353e29df17231

Aliases

arxiv: 1812.05346 · arxiv_version: 1812.05346v1 · doi: 10.48550/arxiv.1812.05346 · pith_short_12: G2BF5DJMAN46 · pith_short_16: G2BF5DJMAN462IBJ · pith_short_8: G2BF5DJM

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/G2BF5DJMAN462IBJFBTZTSXXYZ \
  | 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: 36825e8d2c0379ed2029286799caf7c6763ff08daa505988eaa353e29df17231

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "864603e296064cb85fe1237b9970a9fbf3aefd07ee3f26b287f1e2311e682001",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-12-13T10:08:16Z",
    "title_canon_sha256": "014ba658c747c0303693b77b2c8bcab6fff67432159e1b52169920c8e27de5a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05346",
    "kind": "arxiv",
    "version": 1
  }
}