Pith Number

pith:GRVXBHIR

pith:2006:GRVXBHIRENJZYZ35K4XOTD2WJB

not attested not anchored not stored refs pending

Restriction of Fourier transforms to curves and related oscillatory integrals

Andreas Seeger, Daniel M. Oberlin, Jong-Guk Bak

arxiv:math/0612752 v2 · 2006-12-24 · 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{GRVXBHIRENJZYZ35K4XOTD2WJB}

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	2026-07-04T17:23:15.541612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

346b709d1123539c677d572ee98f564843a0a2c7684e908b78b25572def97cdb

Aliases

arxiv: math/0612752 · arxiv_version: math/0612752v2 · doi: 10.48550/arxiv.math/0612752 · pith_short_12: GRVXBHIRENJZ · pith_short_16: GRVXBHIRENJZYZ35 · pith_short_8: GRVXBHIR

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/GRVXBHIRENJZYZ35K4XOTD2WJB \
  | 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: 346b709d1123539c677d572ee98f564843a0a2c7684e908b78b25572def97cdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83c85f86cfb7729cdfb279277e1051445ceffe23a4bc9e9e9242a12693dce9d8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2006-12-24T14:03:12Z",
    "title_canon_sha256": "4acef98b4f85c9627848738a6b8b3c8e0de32a02910f70b95e1730a83b914f83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612752",
    "kind": "arxiv",
    "version": 2
  }
}