Pith Number

pith:7DUXT3TB

pith:2022:7DUXT3TBKOJOGKPYQKNWB277CY

not attested not anchored not stored refs pending

On oscillatory integrals with H\"older phases

Ga\'etan Leclerc

arxiv:2211.08088 v1 · 2022-11-15 · math.DS · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7DUXT3TBKOJOGKPYQKNWB277CY}

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	2026-07-05T05:16:39.651823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8e979ee615392e329f8829b60ebff163966e13c91b1dea07e74f2db2e60b9b6

Aliases

arxiv: 2211.08088 · arxiv_version: 2211.08088v1 · doi: 10.48550/arxiv.2211.08088 · pith_short_12: 7DUXT3TBKOJO · pith_short_16: 7DUXT3TBKOJOGKPY · pith_short_8: 7DUXT3TB

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/7DUXT3TBKOJOGKPYQKNWB277CY \
  | 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: f8e979ee615392e329f8829b60ebff163966e13c91b1dea07e74f2db2e60b9b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c69dd240d41e66cd7328a028b9a643ee5f26d6552de4a877d44e6de880f3777",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-11-15T12:13:34Z",
    "title_canon_sha256": "7aef3ce2c8c03f2620b4e92d81c9b8e30a4a47dc401461602e9c762543feef54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.08088",
    "kind": "arxiv",
    "version": 1
  }
}