Pith Number

pith:QUHD3F5Y

pith:2015:QUHD3F5YYXRVCF6ANZKIPLGGRW

not attested not anchored not stored refs pending

A step forwards on the Erd\H{o}s-S\'os problem concerning the Ramsey numbers $R(3,k)$

Rujie Zhu, Stanis{\l}aw Radziszowski, Xiaodong Xu

arxiv:1507.01133 v1 · 2015-07-04 · 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{QUHD3F5YYXRVCF6ANZKIPLGGRW}

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	2026-05-18T01:37:18.053366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

850e3d97b8c5e35117c06e5487acc68db2d75e9d73771fab9241b0828607179c

Aliases

arxiv: 1507.01133 · arxiv_version: 1507.01133v1 · doi: 10.48550/arxiv.1507.01133 · pith_short_12: QUHD3F5YYXRV · pith_short_16: QUHD3F5YYXRVCF6A · pith_short_8: QUHD3F5Y

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/QUHD3F5YYXRVCF6ANZKIPLGGRW \
  | 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: 850e3d97b8c5e35117c06e5487acc68db2d75e9d73771fab9241b0828607179c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ddaac1064b48088dbf252f289ed344a053ef692a145daee01bbf43785cd1251",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-04T18:12:51Z",
    "title_canon_sha256": "c4ac703ed1c47149291948adf192002e59c659d0d24152aa1ee2b6dd1e4492cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01133",
    "kind": "arxiv",
    "version": 1
  }
}