Pith Number

pith:DXPDUGSK

pith:2026:DXPDUGSKLDXNLOZNUR752WKWST

not attested not anchored not stored refs pending

Gradient estimates for $p\left(\cdot\right)$-harmonic differential forms

Anna Balci, Mikhail Surnachev, Swarnendu Sil

arxiv:2605.22178 v1 · 2026-05-21 · 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{DXPDUGSKLDXNLOZNUR752WKWST}

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	2026-05-22T01:04:30.429972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dde3a1a4a58eed5bb2da47fdd595694d019fcedfae31f13d4de487936f18f28

Aliases

arxiv: 2605.22178 · arxiv_version: 2605.22178v1 · doi: 10.48550/arxiv.2605.22178 · pith_short_12: DXPDUGSKLDXN · pith_short_16: DXPDUGSKLDXNLOZN · pith_short_8: DXPDUGSK

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/DXPDUGSKLDXNLOZNUR752WKWST \
  | 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: 1dde3a1a4a58eed5bb2da47fdd595694d019fcedfae31f13d4de487936f18f28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d915cb06709de3b9e77365cfc4455534c90345b4e6590af6eef0df50f3cf4cc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-21T08:49:07Z",
    "title_canon_sha256": "79e85c9f30464392fc49ed0e3d3429caad0b8cecc0828122d753736972107bf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22178",
    "kind": "arxiv",
    "version": 1
  }
}