Pith Number

pith:DMNMTAWA

pith:2017:DMNMTAWAMRVTSTW7H2I5IXHHUP

not attested not anchored not stored refs pending

On Basic Fourier-Bessel Expansions

Jos\'e Luis Cardoso

arxiv:1707.05216 v3 · 2017-07-10 · 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{DMNMTAWAMRVTSTW7H2I5IXHHUP}

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	2026-05-18T00:18:25.739340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b1ac982c0646b394edf3e91d45ce7a3cea3f3a829d72e2040f816ceeab6629f

Aliases

arxiv: 1707.05216 · arxiv_version: 1707.05216v3 · doi: 10.48550/arxiv.1707.05216 · pith_short_12: DMNMTAWAMRVT · pith_short_16: DMNMTAWAMRVTSTW7 · pith_short_8: DMNMTAWA

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/DMNMTAWAMRVTSTW7H2I5IXHHUP \
  | 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: 1b1ac982c0646b394edf3e91d45ce7a3cea3f3a829d72e2040f816ceeab6629f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9a734754273192fb760ad6290912786836f294bfea0d68c8f562929e34704e7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-07-10T16:11:05Z",
    "title_canon_sha256": "5f20796e13dd6b1683fe1efd974916308af704a4df8c02d117a4496a842c6025"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05216",
    "kind": "arxiv",
    "version": 3
  }
}