Pith Number

pith:5UVUTH4H

pith:2026:5UVUTH4HTCWK353P7GDRVFMKDF

not attested not anchored not stored refs pending

A Fourier-Free Density-Increment Proof of Roth's Theorem

Mark Lewko

arxiv:2605.19310 v1 · 2026-05-19 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5UVUTH4HTCWK353P7GDRVFMKDF}

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	2026-05-20T01:05:38.710774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed2b499f8798acadf76ff9871a958a1978913e715ec2d3336092869e873dc833

Aliases

arxiv: 2605.19310 · arxiv_version: 2605.19310v1 · doi: 10.48550/arxiv.2605.19310 · pith_short_12: 5UVUTH4HTCWK · pith_short_16: 5UVUTH4HTCWK353P · pith_short_8: 5UVUTH4H

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/5UVUTH4HTCWK353P7GDRVFMKDF \
  | 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: ed2b499f8798acadf76ff9871a958a1978913e715ec2d3336092869e873dc833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e9846e4db8b7fab27425b30841e42784415efb20cbde63a7106a7658498b809",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-19T03:45:29Z",
    "title_canon_sha256": "06e62ea0573a333c397ef01c7f945811ab77b2a8003b8271a2f39a28380e2dde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19310",
    "kind": "arxiv",
    "version": 1
  }
}