Pith Number

pith:SP23Z4XQ

pith:2023:SP23Z4XQBFMFJGP7XDLXH2UYEF

not attested not anchored not stored refs pending

Results on gradients of harmonic functions on Lipschitz surfaces

Benjamin Foster

arxiv:2304.11344 v2 · 2023-04-22 · math.AP · math.CV

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SP23Z4XQBFMFJGP7XDLXH2UYEF}

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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.

Cited by

1 paper in Pith

Propagation of smallness near codimension two for gradients of harmonic functions

Receipt and verification

First computed	2026-07-05T07:51:27.629170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93f5bcf2f009585499ffb8d773ea9821476d2b520264212268faab85b1651409

Aliases

arxiv: 2304.11344 · arxiv_version: 2304.11344v2 · doi: 10.48550/arxiv.2304.11344 · pith_short_12: SP23Z4XQBFMF · pith_short_16: SP23Z4XQBFMFJGP7 · pith_short_8: SP23Z4XQ

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/SP23Z4XQBFMFJGP7XDLXH2UYEF \
  | 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: 93f5bcf2f009585499ffb8d773ea9821476d2b520264212268faab85b1651409

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ee43127a0c6ffb225369c26e9891ff2d00426ed840e56e2c1dbc6089cddd92f",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-04-22T07:52:44Z",
    "title_canon_sha256": "0ed38fde720ab536c9269be603ccfc463b42bbd3557696d44426181e844ece0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.11344",
    "kind": "arxiv",
    "version": 2
  }
}