Pith Number

pith:DP76MDHP

pith:2017:DP76MDHP4RZDHLLZ6N3S45GMEH

not attested not anchored not stored refs pending

Frame multiplication theory and a vector-valued DFT and ambiguity function

Jeffrey J. Donatelli, John J. Benedetto, Travis D. Andrews

arxiv:1706.05579 v1 · 2017-06-17 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DP76MDHP4RZDHLLZ6N3S45GMEH}

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	2026-05-18T00:42:09.474649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bffe60cefe47233ad79f3772e74cc21f7d812077b9b0f8edb77866201ccfa30

Aliases

arxiv: 1706.05579 · arxiv_version: 1706.05579v1 · doi: 10.48550/arxiv.1706.05579 · pith_short_12: DP76MDHP4RZD · pith_short_16: DP76MDHP4RZDHLLZ · pith_short_8: DP76MDHP

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/DP76MDHP4RZDHLLZ6N3S45GMEH \
  | 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: 1bffe60cefe47233ad79f3772e74cc21f7d812077b9b0f8edb77866201ccfa30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9de7e021b1f7090caa11ec0ee14e9ce2090c1078770de492dec4aa6de9f7077",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-06-17T21:03:51Z",
    "title_canon_sha256": "294a667f53508abfdd5ae16f7434854dbf3c2eefab189fa7b03e0b5cda023cd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05579",
    "kind": "arxiv",
    "version": 1
  }
}