Pith Number

pith:VV2KVLCM

pith:2018:VV2KVLCM27JLTKTJY4FT5LFWZQ

not attested not anchored not stored refs pending

Logarithmic bounds for Roth's theorem via almost-periodicity

Olof Sisask, Thomas F. Bloom

arxiv:1810.12791 v2 · 2018-10-30 · 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{VV2KVLCM27JLTKTJY4FT5LFWZQ}

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	2026-05-17T23:46:41.439764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad74aaac4cd7d2b9aa69c70b3eacb6cc1abfa0ff1cda83e28dadb55e65c089f6

Aliases

arxiv: 1810.12791 · arxiv_version: 1810.12791v2 · doi: 10.48550/arxiv.1810.12791 · pith_short_12: VV2KVLCM27JL · pith_short_16: VV2KVLCM27JLTKTJ · pith_short_8: VV2KVLCM

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/VV2KVLCM27JLTKTJY4FT5LFWZQ \
  | 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: ad74aaac4cd7d2b9aa69c70b3eacb6cc1abfa0ff1cda83e28dadb55e65c089f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaf9fe1c1b23e052d6291937ed89c26371ee8bfa036065a6b2381467f10c1627",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-30T14:57:48Z",
    "title_canon_sha256": "6567544cbd7d90b4aa7f37f5985f3923c484cea7cb6dcc3eec2498b3c3db8691"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12791",
    "kind": "arxiv",
    "version": 2
  }
}