Pith Number

pith:C7VCMW3Q

pith:2017:C7VCMW3QR26RCFJY3ZXEIUF66Y

not attested not anchored not stored refs pending

A Constructive Lower Bound on Szemer\'edi's Theorem

Vladislav Taranchuk

arxiv:1711.04183 v2 · 2017-11-11 · 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{C7VCMW3QR26RCFJY3ZXEIUF66Y}

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	2026-05-18T00:30:16.090652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17ea265b708ebd111538de6e4450bef635841fd1a0bec27713f67e88c8f4026a

Aliases

arxiv: 1711.04183 · arxiv_version: 1711.04183v2 · doi: 10.48550/arxiv.1711.04183 · pith_short_12: C7VCMW3QR26R · pith_short_16: C7VCMW3QR26RCFJY · pith_short_8: C7VCMW3Q

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/C7VCMW3QR26RCFJY3ZXEIUF66Y \
  | 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: 17ea265b708ebd111538de6e4450bef635841fd1a0bec27713f67e88c8f4026a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b2729cad9c617273f99e0a4478c0d4ece76a5316f18e321631e8a4e6963f161",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-11T18:54:52Z",
    "title_canon_sha256": "e7f554941c3d48e00b050205fbb257f4f8874a6bbfc302fb92f179f825c3736f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04183",
    "kind": "arxiv",
    "version": 2
  }
}