Pith Number

pith:BKTTPKB3

pith:2025:BKTTPKB3GZHMAWGAFX6SOSGG2D

not attested not anchored not stored refs pending

Khintchine inequalities, trace monoids and Tur\'an-type problems

Patrick Oliveira Santos, Pierre Youssef, Raghavendra Tripathi

arxiv:2506.02517 v1 · 2025-06-03 · math.OA · math.CO · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKTTPKB3GZHMAWGAFX6SOSGG2D}

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	2026-07-05T11:15:03.520897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aa737a83b364ec058c02dfd2748c6d0cc800962afa6d08546b0e99010964cf4

Aliases

arxiv: 2506.02517 · arxiv_version: 2506.02517v1 · doi: 10.48550/arxiv.2506.02517 · pith_short_12: BKTTPKB3GZHM · pith_short_16: BKTTPKB3GZHMAWGA · pith_short_8: BKTTPKB3

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/BKTTPKB3GZHMAWGAFX6SOSGG2D \
  | 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: 0aa737a83b364ec058c02dfd2748c6d0cc800962afa6d08546b0e99010964cf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c06f019c647a140462adffd5485d3c3818e207834d379b6e365bdeaac8371d09",
    "cross_cats_sorted": [
      "math.CO",
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-06-03T06:45:15Z",
    "title_canon_sha256": "bd4dae6d913da97aa3ad98c83a9034a3a3fb0e180f45c14b6a2820b78d6933bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02517",
    "kind": "arxiv",
    "version": 1
  }
}