Pith Number

pith:3PBQZLT2

pith:2014:3PBQZLT2EW7V37Q6ZCRC3NAHA6

not attested not anchored not stored refs pending

Logarithmic bounds for translation-invariant equations in squares

Kevin Henriot

arxiv:1409.4501 v3 · 2014-09-16 · 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{3PBQZLT2EW7V37Q6ZCRC3NAHA6}

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	2026-05-18T02:39:47.825192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbc30cae7a25bf5dfe1ec8a22db40707bb3b1237a0f242dbcd0ffa4b773fe705

Aliases

arxiv: 1409.4501 · arxiv_version: 1409.4501v3 · doi: 10.48550/arxiv.1409.4501 · pith_short_12: 3PBQZLT2EW7V · pith_short_16: 3PBQZLT2EW7V37Q6 · pith_short_8: 3PBQZLT2

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/3PBQZLT2EW7V37Q6ZCRC3NAHA6 \
  | 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: dbc30cae7a25bf5dfe1ec8a22db40707bb3b1237a0f242dbcd0ffa4b773fe705

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "339172b970755d9af355d218fb63c51217ec747bb200ae776c922a9016198e90",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-16T04:34:41Z",
    "title_canon_sha256": "b0167535810e1df8ed3bcf3f2ca393ff80fbbbdd66044faff52a5af97085e766"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4501",
    "kind": "arxiv",
    "version": 3
  }
}