Pith Number

pith:KG4TYCEK

pith:2018:KG4TYCEKNAXCLND7664HFLXIVF

not attested not anchored not stored refs pending

Bloom type upper bounds in the product BMO setting

Emil Vuorinen, Henri Martikainen, Kangwei Li

arxiv:1810.09303 v2 · 2018-10-22 · 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{KG4TYCEKNAXCLND7664HFLXIVF}

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	2026-05-17T23:49:03.188587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51b93c088a682e25b47ff7b872aee8a95e16dcb269329bf646a0d1179c3bd3f1

Aliases

arxiv: 1810.09303 · arxiv_version: 1810.09303v2 · doi: 10.48550/arxiv.1810.09303 · pith_short_12: KG4TYCEKNAXC · pith_short_16: KG4TYCEKNAXCLND7 · pith_short_8: KG4TYCEK

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/KG4TYCEKNAXCLND7664HFLXIVF \
  | 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: 51b93c088a682e25b47ff7b872aee8a95e16dcb269329bf646a0d1179c3bd3f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6d37cfc830475c18ef6ace5f2806c2d53e270d68b01d39f4d751dd5d1c9dc8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-10-22T14:10:56Z",
    "title_canon_sha256": "b35271967425543516f3e9393e048abdf7bb75db3dfbc05f50ce300173825ff4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.09303",
    "kind": "arxiv",
    "version": 2
  }
}