Pith Number

pith:IDTD5SHR

pith:2002:IDTD5SHRWGNYKPPLXQC7ZQIVIG

not attested not anchored not stored refs pending

Oscillatory and Fourier Integral operators with degenerate canonical relations

Allan Greenleaf, Andreas Seeger

arxiv:math/0205105 v1 · 2002-05-10 · 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{IDTD5SHRWGNYKPPLXQC7ZQIVIG}

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	2026-07-04T14:36:11.795543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40e63ec8f1b19b853debbc05fcc11541b77117e87b49b9ddf097d776159938c8

Aliases

arxiv: math/0205105 · arxiv_version: math/0205105v1 · doi: 10.48550/arxiv.math/0205105 · pith_short_12: IDTD5SHRWGNY · pith_short_16: IDTD5SHRWGNYKPPL · pith_short_8: IDTD5SHR

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/IDTD5SHRWGNYKPPLXQC7ZQIVIG \
  | 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: 40e63ec8f1b19b853debbc05fcc11541b77117e87b49b9ddf097d776159938c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7ec3cb88034edc656904a6c2c38b9fc2119049d8b8bb9fd0d884d891a00a9d3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2002-05-10T15:00:03Z",
    "title_canon_sha256": "3fe6775aa30cfe1b4851765bd6157e30a3a8097c3efadf79017e043f7eaff5ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0205105",
    "kind": "arxiv",
    "version": 1
  }
}