Pith Number

pith:5ETDFRTD

pith:2026:5ETDFRTD5RNHU636UY3EDMSW24

not attested not anchored not stored refs pending

Quantitative flatness and obstructions in Fourier analysis

Jonathan M. Fraser

arxiv:2606.13170 v1 · 2026-06-11 · math.CA · math.DG · math.DS · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ETDFRTD5RNHU636UY3EDMSW24}

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	2026-06-12T01:09:44.457135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e92632c663ec5a7a7b7ea63641b256d703015097aaa67fd93ddfea79508f2b70

Aliases

arxiv: 2606.13170 · arxiv_version: 2606.13170v1 · doi: 10.48550/arxiv.2606.13170 · pith_short_12: 5ETDFRTD5RNH · pith_short_16: 5ETDFRTD5RNHU636 · pith_short_8: 5ETDFRTD

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/5ETDFRTD5RNHU636UY3EDMSW24 \
  | 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: e92632c663ec5a7a7b7ea63641b256d703015097aaa67fd93ddfea79508f2b70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "303cd1d4e00b587b7f6effe06fda60f02eeb37a5032a76c9c23078cdef7dcb11",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS",
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-06-11T10:42:23Z",
    "title_canon_sha256": "c9d84cda1baf1db541deb4221e2dbaa387e7601fe8e0d7c0f623af5f803f9da4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13170",
    "kind": "arxiv",
    "version": 1
  }
}