Pith Number

pith:YIHNQ6BR

pith:2013:YIHNQ6BRSGIBDUYH3WG3ZZN2C3

not attested not anchored not stored refs pending

Random differences in Szemer\'edi's theorem and related results

Emmanuel Lesigne, M\'at\'e Wierdl, Nikos Frantzikinakis

arxiv:1307.1922 v2 · 2013-07-07 · math.CO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YIHNQ6BRSGIBDUYH3WG3ZZN2C3}

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	2026-05-18T02:52:34.581675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c20ed87831919011d307dd8dbce5ba16f204b5442fabc75dfb6701db73e2b718

Aliases

arxiv: 1307.1922 · arxiv_version: 1307.1922v2 · doi: 10.48550/arxiv.1307.1922 · pith_short_12: YIHNQ6BRSGIB · pith_short_16: YIHNQ6BRSGIBDUYH · pith_short_8: YIHNQ6BR

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/YIHNQ6BRSGIBDUYH3WG3ZZN2C3 \
  | 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: c20ed87831919011d307dd8dbce5ba16f204b5442fabc75dfb6701db73e2b718

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93f5b5341609cd00596568b9bdd8587ffa228f70a0e495fa27d65e67afae0412",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-07T21:39:00Z",
    "title_canon_sha256": "286053d8110e3c4dd48531414779396f53395297245ab89a669e7d44fc8650fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1922",
    "kind": "arxiv",
    "version": 2
  }
}