Pith Number

pith:Q4IT3M7V

pith:2017:Q4IT3M7VOZ2XLOOBPT3NFHBSTA

not attested not anchored not stored refs pending

Nonlinear Calder\'on-Zygmund inequalities for maps

Batu G\"uneysu, Stefano Pigola

arxiv:1712.01336 v2 · 2017-12-04 · math.DG · 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{Q4IT3M7VOZ2XLOOBPT3NFHBSTA}

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	2026-05-18T00:21:50.732840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87113db3f5767575b9c17cf6d29c329824ab02dfc07edb8fcefa400f72d24e9e

Aliases

arxiv: 1712.01336 · arxiv_version: 1712.01336v2 · doi: 10.48550/arxiv.1712.01336 · pith_short_12: Q4IT3M7VOZ2X · pith_short_16: Q4IT3M7VOZ2XLOOB · pith_short_8: Q4IT3M7V

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/Q4IT3M7VOZ2XLOOBPT3NFHBSTA \
  | 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: 87113db3f5767575b9c17cf6d29c329824ab02dfc07edb8fcefa400f72d24e9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d8f82f0fbefe38db80810cc196fef4d3a352d132fd12bbcf5e7aa8407618c26",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-12-04T20:23:30Z",
    "title_canon_sha256": "aa0b532dd420af06c071b6edb79ecb78b97e56e7baa5304b027c4fb22e3ac6f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01336",
    "kind": "arxiv",
    "version": 2
  }
}