Pith Number

pith:B4ALZP6Z

pith:2026:B4ALZP6ZN6OP6XLVZWYRGPO2KW

not attested not anchored not stored refs pending

Higher integrability for parabolic double phase equations with an improved gap bound

Abhrojyoti Sen, Jarkko Siltakoski

arxiv:2606.10590 v1 · 2026-06-09 · 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{B4ALZP6ZN6OP6XLVZWYRGPO2KW}

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	2026-06-10T01:10:28.310644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f00bcbfd96f9cff5d75cdb1133dda55952c240e587e96a0d2e306a6fc90c976

Aliases

arxiv: 2606.10590 · arxiv_version: 2606.10590v1 · doi: 10.48550/arxiv.2606.10590 · pith_short_12: B4ALZP6ZN6OP · pith_short_16: B4ALZP6ZN6OP6XLV · pith_short_8: B4ALZP6Z

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/B4ALZP6ZN6OP6XLVZWYRGPO2KW \
  | 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: 0f00bcbfd96f9cff5d75cdb1133dda55952c240e587e96a0d2e306a6fc90c976

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71fc4a39afafcd67738ec5f2bc1f3436b5efb0e973411d0c43a12367cfa3237d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-09T08:55:44Z",
    "title_canon_sha256": "2a93668d1184417dbfc9fb302d0fffaeba7a661be2ec32768ad507cf37c889c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10590",
    "kind": "arxiv",
    "version": 1
  }
}