Pith Number

pith:K26XEXRU

pith:2007:K26XEXRU2FBJPN3KVNTDVX6VRL

not attested not anchored not stored refs pending

An explicit stationary phase formula for the local formal Fourier-Laplace transform

Claude Sabbah

arxiv:0706.3570 v2 · 2007-06-25 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K26XEXRU2FBJPN3KVNTDVX6VRL}

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	2026-05-18T04:32:20.343737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56bd725e34d14297b76aab663adfd58ac02756a6b71d23cc019aab31a0d4357e

Aliases

arxiv: 0706.3570 · arxiv_version: 0706.3570v2 · doi: 10.48550/arxiv.0706.3570 · pith_short_12: K26XEXRU2FBJ · pith_short_16: K26XEXRU2FBJPN3K · pith_short_8: K26XEXRU

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/K26XEXRU2FBJPN3KVNTDVX6VRL \
  | 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: 56bd725e34d14297b76aab663adfd58ac02756a6b71d23cc019aab31a0d4357e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60b4be4ba9064f47f79debc5be0d2f30c3907d7d684f8aa5e7557f60b5e3c822",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-06-25T06:56:08Z",
    "title_canon_sha256": "ba8f7813667a2c06799688624951da61c02edccc4c93d286f969564d537c9211"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.3570",
    "kind": "arxiv",
    "version": 2
  }
}