Pith Number

pith:AROO2GTM

pith:2018:AROO2GTM4AX6SYLMJWMTCUOOXF

not attested not anchored not stored refs pending

Wavenumber-explicit regularity estimates on the acoustic single- and double-layer operators

Euan A. Spence, Jeffrey Galkowski

arxiv:1807.09719 v1 · 2018-07-25 · 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{AROO2GTM4AX6SYLMJWMTCUOOXF}

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	2026-05-18T00:09:48.402624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

045ced1a6ce02fe9616c4d993151ceb9785d98ed7e188b10cacc2dd99525d0a3

Aliases

arxiv: 1807.09719 · arxiv_version: 1807.09719v1 · doi: 10.48550/arxiv.1807.09719 · pith_short_12: AROO2GTM4AX6 · pith_short_16: AROO2GTM4AX6SYLM · pith_short_8: AROO2GTM

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/AROO2GTM4AX6SYLMJWMTCUOOXF \
  | 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: 045ced1a6ce02fe9616c4d993151ceb9785d98ed7e188b10cacc2dd99525d0a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0672d0ce436775131919bf4274b0be8f5a9a2608ff9cfa976c646d2a33304a45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-25T16:47:40Z",
    "title_canon_sha256": "3412170e6779b1277614f0d2f148e4ca4404c8c38dd685714b83c496f2f2c858"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.09719",
    "kind": "arxiv",
    "version": 1
  }
}