Pith Number

pith:2ZZJDL23

pith:2014:2ZZJDL23O6BEZDFZHKO2SIIHV7

not attested not anchored not stored refs pending

Sharp norm estimates of layer potentials and operators at high frequency

Jeffrey Galkowski, Melissa Tacy, Xiaolong Han

arxiv:1403.6576 v5 · 2014-03-26 · 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{2ZZJDL23O6BEZDFZHKO2SIIHV7}

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	2026-05-18T01:22:48.934563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d67291af5b77824c8cb93a9da92107afd38ab415392fda67922ad21d3f93438a

Aliases

arxiv: 1403.6576 · arxiv_version: 1403.6576v5 · doi: 10.48550/arxiv.1403.6576 · pith_short_12: 2ZZJDL23O6BE · pith_short_16: 2ZZJDL23O6BEZDFZ · pith_short_8: 2ZZJDL23

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/2ZZJDL23O6BEZDFZHKO2SIIHV7 \
  | 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: d67291af5b77824c8cb93a9da92107afd38ab415392fda67922ad21d3f93438a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d15188282417023199e931f0c36d93c8a062c9b7ab6df863224676118aab5a04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-03-26T06:49:25Z",
    "title_canon_sha256": "fa7cd1c7c75a49010f9ccf7052775870c929c1f8bc7b43d199946083afcfe4d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6576",
    "kind": "arxiv",
    "version": 5
  }
}