Pith Number

pith:DWKNZKN5

pith:2012:DWKNZKN5PQ7GWKA642MF45NR6O

not attested not anchored not stored refs pending

The global wave front set of tempered oscillatory integrals with inhomogeneous phase functions

R. Schulz, S. Coriasco

arxiv:1207.6813 v3 · 2012-07-30 · math.FA · 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{DWKNZKN5PQ7GWKA642MF45NR6O}

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	2026-05-18T02:48:53.290876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d94dca9bd7c3e6b281ee6985e75b1f3aef6160b2794a6d4e32ed1c6e01bc8fe

Aliases

arxiv: 1207.6813 · arxiv_version: 1207.6813v3 · doi: 10.48550/arxiv.1207.6813 · pith_short_12: DWKNZKN5PQ7G · pith_short_16: DWKNZKN5PQ7GWKA6 · pith_short_8: DWKNZKN5

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/DWKNZKN5PQ7GWKA642MF45NR6O \
  | 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: 1d94dca9bd7c3e6b281ee6985e75b1f3aef6160b2794a6d4e32ed1c6e01bc8fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa34e4c4f1ff447d8c63a332b387585baae492fe120ce8d3641befaf43678581",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-07-30T00:39:29Z",
    "title_canon_sha256": "07b9e00107809f6ff21d625889f0db92338b969b64658f68694c2e53d565405d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6813",
    "kind": "arxiv",
    "version": 3
  }
}