Pith Number

pith:TQWS2H6P

pith:2026:TQWS2H6PNKESFRAPRGS6XKF55K

not attested not anchored not stored refs pending

On Sharp Estimates of Derivatives of Even Order

I.A.Sheipak, T.A.Garmanova

arxiv:2606.22646 v1 · 2026-06-21 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQWS2H6PNKESFRAPRGS6XKF55K}

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	2026-06-23T02:13:43.890482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c2d2d1fcf6a8922c40f89a5eba8bdeab30a9b232071ab0c486438efa5e9520e

Aliases

arxiv: 2606.22646 · arxiv_version: 2606.22646v1 · doi: 10.48550/arxiv.2606.22646 · pith_short_12: TQWS2H6PNKES · pith_short_16: TQWS2H6PNKESFRAP · pith_short_8: TQWS2H6P

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/TQWS2H6PNKESFRAPRGS6XKF55K \
  | 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: 9c2d2d1fcf6a8922c40f89a5eba8bdeab30a9b232071ab0c486438efa5e9520e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d17c82aeed5977c4607c8fcb17f3431f40177470bb8e4dabd3007b329ded7aff",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-21T19:12:14Z",
    "title_canon_sha256": "e9ddab3c7884101f7a4865a5afed3f194f8aaa26edb011d4d013c159ad634c56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22646",
    "kind": "arxiv",
    "version": 1
  }
}