Pith Number

pith:PTUXS3DA

pith:2013:PTUXS3DAR5265W6RIZEKBHIYLZ

not attested not anchored not stored refs pending

Bounding the decay of oscillatory integrals with a constructible amplitude function and a globally subanalytic phase function

Daniel J. Miller, Raf Cluckers

arxiv:1304.6102 v1 · 2013-04-22 · math.CA · math.AG · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTUXS3DAR5265W6RIZEKBHIYLZ}

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	2026-05-18T03:27:22.384814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ce9796c608f75eedbd14648a09d185e58d14ed78443b2c4c6e876600228cc76

Aliases

arxiv: 1304.6102 · arxiv_version: 1304.6102v1 · doi: 10.48550/arxiv.1304.6102 · pith_short_12: PTUXS3DAR526 · pith_short_16: PTUXS3DAR5265W6R · pith_short_8: PTUXS3DA

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/PTUXS3DAR5265W6RIZEKBHIYLZ \
  | 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: 7ce9796c608f75eedbd14648a09d185e58d14ed78443b2c4c6e876600228cc76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "296462b8851d3aa3d3329d48c43cc5399bebb217e038ad2abf8c0cf1b07eb15b",
    "cross_cats_sorted": [
      "math.AG",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-04-22T20:37:52Z",
    "title_canon_sha256": "ab11ed03ede8e552250af9ab3e27190816c9ce1fed738fbc5a6fd177e48f5e3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6102",
    "kind": "arxiv",
    "version": 1
  }
}