Pith Number

pith:D4LCR6GI

pith:2018:D4LCR6GIQWOLPVRP3FT3NYLY72

not attested not anchored not stored refs pending

Fourier series in BMO with number theoretical implications

Adri\'an Ubis, Antonio C\'ordoba, Fernando Chamizo

arxiv:1812.08747 v1 · 2018-12-20 · 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{D4LCR6GIQWOLPVRP3FT3NYLY72}

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	2026-05-17T23:57:49.265896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f1628f8c8859cb7d62fd967b6e178fe896d4d80ff7e4ee903998e7c155c533c

Aliases

arxiv: 1812.08747 · arxiv_version: 1812.08747v1 · doi: 10.48550/arxiv.1812.08747 · pith_short_12: D4LCR6GIQWOL · pith_short_16: D4LCR6GIQWOLPVRP · pith_short_8: D4LCR6GI

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/D4LCR6GIQWOLPVRP3FT3NYLY72 \
  | 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: 1f1628f8c8859cb7d62fd967b6e178fe896d4d80ff7e4ee903998e7c155c533c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88993fe0c1f0379aaf314c0ccb34e048e6495dc70b9ec96534f89ed2f81a6def",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-12-20T18:27:01Z",
    "title_canon_sha256": "f4633efbb78f062977306ff1e5a769c61bb47c9956eada0cb47c074f40489fee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08747",
    "kind": "arxiv",
    "version": 1
  }
}