Pith Number

pith:LVIZ44WE

pith:2014:LVIZ44WE3KDQ3HECZRE26LGZD7

not attested not anchored not stored refs pending

Quantitative bounds in the polynomial Szemer\'edi theorem: the homogeneous case

Sean Prendiville

arxiv:1409.8234 v4 · 2014-09-29 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LVIZ44WE3KDQ3HECZRE26LGZD7}

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	2026-05-18T00:50:30.007081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d519e72c4da870d9c82cc49af2cd91ff6f3792d8fd5d791b5095b20a2e76f65

Aliases

arxiv: 1409.8234 · arxiv_version: 1409.8234v4 · doi: 10.48550/arxiv.1409.8234 · pith_short_12: LVIZ44WE3KDQ · pith_short_16: LVIZ44WE3KDQ3HEC · pith_short_8: LVIZ44WE

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/LVIZ44WE3KDQ3HECZRE26LGZD7 \
  | 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: 5d519e72c4da870d9c82cc49af2cd91ff6f3792d8fd5d791b5095b20a2e76f65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8a425d9f3072c3de02e5e7f3322d760bd5728ee0250395d0f2a380b930e5825",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-29T18:58:47Z",
    "title_canon_sha256": "859539f85915c4d9c3bf2c8a943f28656056421d9783e255f9d6324475b6d116"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8234",
    "kind": "arxiv",
    "version": 4
  }
}