Pith Number

pith:O2QY4LRY

pith:2017:O2QY4LRYI7UU4I5OYGQE6PBNZY

not attested not anchored not stored refs pending

Directed Ramsey number for trees

Benny Sudakov, Matija Bucic, Shoham Letzter

arxiv:1708.04504 v2 · 2017-08-15 · 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{O2QY4LRYI7UU4I5OYGQE6PBNZY}

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	2026-05-17T23:47:12.824555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76a18e2e3847e94e23aec1a04f3c2dce3e591481c2d72a6002ad2e6aa41a7452

Aliases

arxiv: 1708.04504 · arxiv_version: 1708.04504v2 · doi: 10.48550/arxiv.1708.04504 · pith_short_12: O2QY4LRYI7UU · pith_short_16: O2QY4LRYI7UU4I5O · pith_short_8: O2QY4LRY

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/O2QY4LRYI7UU4I5OYGQE6PBNZY \
  | 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: 76a18e2e3847e94e23aec1a04f3c2dce3e591481c2d72a6002ad2e6aa41a7452

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31f5a4f314923f224c92dd36ecf5cf6ab5670d6dfae4b7ca8b77d8e3c5f3b9bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-15T14:14:50Z",
    "title_canon_sha256": "8ab6bb7b2a2765a3c414aa44f228dfcd5cf161fc8e8d740ed0124597c53baa71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04504",
    "kind": "arxiv",
    "version": 2
  }
}