Pith Number

pith:EWJHN77U

pith:2026:EWJHN77UZ6GLTV5DWVTAV3LRX5

not attested not anchored not stored refs pending

Global Calderon-Zygmund estimates for irregular double-phase evolution problem with non-divergence data

Rakesh Arora, Sergey Shmarev

arxiv:2607.04492 v1 · 2026-07-05 · 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{EWJHN77UZ6GLTV5DWVTAV3LRX5}

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	2026-07-07T02:19:21.936382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

259276fff4cf8cb9d7a3b5660aed71bf72844acd7094492e6c6d23d5e9d6f7d4

Aliases

arxiv: 2607.04492 · arxiv_version: 2607.04492v1 · doi: 10.48550/arxiv.2607.04492 · pith_short_12: EWJHN77UZ6GL · pith_short_16: EWJHN77UZ6GLTV5D · pith_short_8: EWJHN77U

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/EWJHN77UZ6GLTV5DWVTAV3LRX5 \
  | 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: 259276fff4cf8cb9d7a3b5660aed71bf72844acd7094492e6c6d23d5e9d6f7d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98700bf577782960468e38d23f0b6dd9e8747bd8c1edc2f95fea8cada7df0e82",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-05T20:36:53Z",
    "title_canon_sha256": "3acc66a50eb2066ad41a2a7adcdd499c4086f2dcd020a5b5b42fb634bcbbae9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04492",
    "kind": "arxiv",
    "version": 1
  }
}