Pith Number

pith:33WKZJJA

pith:2019:33WKZJJADMM2AOWVO57VLELGOJ

not attested not anchored not stored refs pending

Interior decay of solutions to elliptic equations with respect to frequencies at the boundary

Luca Rondi, Michele Di Cristo

arxiv:1907.05136 v1 · 2019-07-11 · 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{33WKZJJADMM2AOWVO57VLELGOJ}

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	2026-05-17T23:40:53.859087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deecaca5201b19a03ad5777f5591667273bbd6babbf9a443ce5c9b1233bfd330

Aliases

arxiv: 1907.05136 · arxiv_version: 1907.05136v1 · doi: 10.48550/arxiv.1907.05136 · pith_short_12: 33WKZJJADMM2 · pith_short_16: 33WKZJJADMM2AOWV · pith_short_8: 33WKZJJA

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/33WKZJJADMM2AOWVO57VLELGOJ \
  | 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: deecaca5201b19a03ad5777f5591667273bbd6babbf9a443ce5c9b1233bfd330

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffa768cfccd45c12aa5e4c3e3fe80af8d92bf613046039629e61096daac491fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-11T12:16:51Z",
    "title_canon_sha256": "b9befae7038f9ce559a3b364f70ff3d1178d81f837790772701f808ecb75a2a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05136",
    "kind": "arxiv",
    "version": 1
  }
}