Pith Number

pith:HBQE45M4

pith:2016:HBQE45M4HL52NV2YMKQLQG5ES5

not attested not anchored not stored refs pending

Beurling's theorem for the Clifford-Fourier transform

Jamel El Kamel, Rim Jday

arxiv:1611.06017 v1 · 2016-11-18 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBQE45M4HL52NV2YMKQLQG5ES5}

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	2026-05-18T00:57:43.272368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38604e759c3afba6d75862a0b81ba4974b52ffa12c936a05b179f982623e6f6e

Aliases

arxiv: 1611.06017 · arxiv_version: 1611.06017v1 · doi: 10.48550/arxiv.1611.06017 · pith_short_12: HBQE45M4HL52 · pith_short_16: HBQE45M4HL52NV2Y · pith_short_8: HBQE45M4

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/HBQE45M4HL52NV2YMKQLQG5ES5 \
  | 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: 38604e759c3afba6d75862a0b81ba4974b52ffa12c936a05b179f982623e6f6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3d9894cadb9714517bd0e4e51f50d7f49101fa48214a29d0a69dee1d072bb6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-11-18T09:34:48Z",
    "title_canon_sha256": "187bcacd4d1e0a8c2fe3d4bd6ce39f093ddc4256f8c17067cdfe3309b9e094bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06017",
    "kind": "arxiv",
    "version": 1
  }
}