Pith Number

pith:POVPBREV

pith:2013:POVPBREV3SU6LPBUADEOR625HQ

not attested not anchored not stored refs pending

An operator van der Corput estimate arising from oscillatory Riemann-Hilbert problems

Philip T. Gressman, Yen Do

arxiv:1308.1367 v1 · 2013-08-06 · math.CA · 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{POVPBREV3SU6LPBUADEOR625HQ}

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	2026-05-18T03:16:39.085093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7baaf0c495dca9e5bc3400c8e8fb5d3c337ad180b29302f328838084ffae5e4a

Aliases

arxiv: 1308.1367 · arxiv_version: 1308.1367v1 · doi: 10.48550/arxiv.1308.1367 · pith_short_12: POVPBREV3SU6 · pith_short_16: POVPBREV3SU6LPBU · pith_short_8: POVPBREV

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/POVPBREV3SU6LPBUADEOR625HQ \
  | 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: 7baaf0c495dca9e5bc3400c8e8fb5d3c337ad180b29302f328838084ffae5e4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4617d9252fa62b7c12648c60a4c662d6cab035e091d8b7ded715cb3cb155c390",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-08-06T18:24:30Z",
    "title_canon_sha256": "14af910eae87f4a83b3f831357c126a9598c3359c1449a1be5c7f6d4ff35cbc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1367",
    "kind": "arxiv",
    "version": 1
  }
}