Pith Number

pith:J3ZZ4ZYO

pith:2026:J3ZZ4ZYO5LLZNGPS4ANPIZEXYK

not attested not anchored not stored refs pending

Sparsity-adaptive concentration inequalities for random polynomials

Guozheng Dai, Ke Wang

arxiv:2606.24090 v1 · 2026-06-23 · 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{J3ZZ4ZYO5LLZNGPS4ANPIZEXYK}

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	2026-06-24T01:14:40.073481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ef39e670eead79699f2e01af46497c28e589829f84cd338521ba00662ba8cd3

Aliases

arxiv: 2606.24090 · arxiv_version: 2606.24090v1 · doi: 10.48550/arxiv.2606.24090 · pith_short_12: J3ZZ4ZYO5LLZ · pith_short_16: J3ZZ4ZYO5LLZNGPS · pith_short_8: J3ZZ4ZYO

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/J3ZZ4ZYO5LLZNGPS4ANPIZEXYK \
  | 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: 4ef39e670eead79699f2e01af46497c28e589829f84cd338521ba00662ba8cd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7494dccf0e947397084494eba1ca21625bf889e057dd48cc4a7b067e7d9344f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-23T03:10:49Z",
    "title_canon_sha256": "56d0938d2930da633038de6e488a82549ec338d7dc7a3c04b498a6a270c94090"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24090",
    "kind": "arxiv",
    "version": 1
  }
}