Pith Number

pith:S2WYACBL

pith:2014:S2WYACBL7EQKDZ3STKLJLQMPGW

not attested not anchored not stored refs pending

Roth's theorem for four variables and additive structures in sums of sparse sets

Olof Sisask, Tomasz Schoen

arxiv:1408.2568 v1 · 2014-08-11 · 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{S2WYACBL7EQKDZ3STKLJLQMPGW}

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	2026-05-18T02:45:22.761325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96ad80082bf920a1e7729a9695c18f3581650105d9df126081f42fab76699d48

Aliases

arxiv: 1408.2568 · arxiv_version: 1408.2568v1 · doi: 10.48550/arxiv.1408.2568 · pith_short_12: S2WYACBL7EQK · pith_short_16: S2WYACBL7EQKDZ3S · pith_short_8: S2WYACBL

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/S2WYACBL7EQKDZ3STKLJLQMPGW \
  | 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: 96ad80082bf920a1e7729a9695c18f3581650105d9df126081f42fab76699d48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb88d9097c1083540049dbaa360cc113d0e849adef997e8585c6b116724a52f9",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-11T21:55:20Z",
    "title_canon_sha256": "69b0c5d25cb88a050c8b4f0389641b00b5820253e54109fd35f25729f2a99152"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2568",
    "kind": "arxiv",
    "version": 1
  }
}