Pith Number

pith:H3EYOD2L

pith:2026:H3EYOD2LJNSWPJ2EV432E2XXLJ

not attested not anchored not stored refs pending

Sharp coefficient Estimates for the class $\mathcal{S}_{\mathcal{AP}}^{*}$

Nabadwip Sarkar, Pradip Das

arxiv:2606.15488 v2 · 2026-06-13 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3EYOD2LJNSWPJ2EV432E2XXLJ}

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	2026-06-24T01:14:29.442446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ec9870f4b4b6567a744af37a26af75a7c07004014b7ed90776929ecd11361e4

Aliases

arxiv: 2606.15488 · arxiv_version: 2606.15488v2 · doi: 10.48550/arxiv.2606.15488 · pith_short_12: H3EYOD2LJNSW · pith_short_16: H3EYOD2LJNSWPJ2E · pith_short_8: H3EYOD2L

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/H3EYOD2LJNSWPJ2EV432E2XXLJ \
  | 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: 3ec9870f4b4b6567a744af37a26af75a7c07004014b7ed90776929ecd11361e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e80614cd2bbddf8ba7011ba2143e40e967b372bab91e7489d04830d9258c40bc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2026-06-13T21:56:38Z",
    "title_canon_sha256": "03f67b701271667162bb98e788844fc0b4d69fab761b356f4baa235e69675368"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.15488",
    "kind": "arxiv",
    "version": 2
  }
}