Pith Number

pith:ZNBMB6UR

pith:2017:ZNBMB6URSCYG2733DWQAWYKCNS

not attested not anchored not stored refs pending

Schauder estimates for discrete fractional integrals

Jos\'e L. Torrea, Luciano Abadias, Marta de Le\'on-Contreras

arxiv:1708.03790 v1 · 2017-08-12 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNBMB6URSCYG2733DWQAWYKCNS}

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	2026-05-18T00:38:07.894579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb42c0fa9190b06d7f7b1da00b61426c97bb17db33d2b17f671c5c044151ee9c

Aliases

arxiv: 1708.03790 · arxiv_version: 1708.03790v1 · doi: 10.48550/arxiv.1708.03790 · pith_short_12: ZNBMB6URSCYG · pith_short_16: ZNBMB6URSCYG2733 · pith_short_8: ZNBMB6UR

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/ZNBMB6URSCYG2733DWQAWYKCNS \
  | 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: cb42c0fa9190b06d7f7b1da00b61426c97bb17db33d2b17f671c5c044151ee9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "deeb40fc305d97f5fb39ff7907b7adbf703dae6fe4e66bec03721dacfa722cea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-12T15:59:02Z",
    "title_canon_sha256": "67104a6e45fe1d83d458a5ba20b6ec4d9b88a343385948ff817c06b28eb43845"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03790",
    "kind": "arxiv",
    "version": 1
  }
}