Pith Number

pith:Y3CTVHEN

pith:2018:Y3CTVHEN3TUNC4LGBQAA3YB2EC

not attested not anchored not stored refs pending

The Fourier restriction and Kakeya problems over rings of integers modulo $N$

James Wright, Jonathan Hickman

arxiv:1801.03176 v2 · 2018-01-09 · 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{Y3CTVHEN3TUNC4LGBQAA3YB2EC}

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	2026-05-18T00:14:46.554997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6c53a9c8ddce8d171660c000de03a20b1dc1d08e202ad327c10b59283c33db9

Aliases

arxiv: 1801.03176 · arxiv_version: 1801.03176v2 · doi: 10.48550/arxiv.1801.03176 · pith_short_12: Y3CTVHEN3TUN · pith_short_16: Y3CTVHEN3TUNC4LG · pith_short_8: Y3CTVHEN

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/Y3CTVHEN3TUNC4LGBQAA3YB2EC \
  | 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: c6c53a9c8ddce8d171660c000de03a20b1dc1d08e202ad327c10b59283c33db9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "787380ac96e9adecea637b53f6038fb6491aa1ad6147991db34ba55b15249f25",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-01-09T23:06:26Z",
    "title_canon_sha256": "ab7cafba835d355f4c248478e45bea017c491b2032ed7352daf5eceb037154b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03176",
    "kind": "arxiv",
    "version": 2
  }
}