Pith Number

pith:TJPAQNYC

pith:2015:TJPAQNYCX42VDJKLYILNXP7TYW

not attested not anchored not stored refs pending

Pointwise Calder\'on-Zygmund gradient estimates for the $p$-Laplace system

Andrea Cianchi, Dominic Breit, Lars Diening, Sebastian Schwarzacher, Tuomo Kuusi

arxiv:1510.02612 v1 · 2015-10-09 · 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{TJPAQNYCX42VDJKLYILNXP7TYW}

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	2026-05-18T01:30:41.909864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a5e083702bf3551a54bc216dbbff3c58c6c12413c95f14a64e7fffcb1513150

Aliases

arxiv: 1510.02612 · arxiv_version: 1510.02612v1 · doi: 10.48550/arxiv.1510.02612 · pith_short_12: TJPAQNYCX42V · pith_short_16: TJPAQNYCX42VDJKL · pith_short_8: TJPAQNYC

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/TJPAQNYCX42VDJKLYILNXP7TYW \
  | 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: 9a5e083702bf3551a54bc216dbbff3c58c6c12413c95f14a64e7fffcb1513150

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7567858b7ad73f39ff5f4ab8a2d785e4e1a069d93ec7ee88359dcecf5a776a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-09T10:09:15Z",
    "title_canon_sha256": "800e11b5c3a5797f563e38886f87db0a07d04ad463d6ee247d42a01210dd5dd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02612",
    "kind": "arxiv",
    "version": 1
  }
}