Pith Number

pith:XSH2NK75

pith:2014:XSH2NK75EZV52ANMSL6EKHGWC2

not attested not anchored not stored refs pending

Rainbow triangles in three-colored graphs

Bernard Lidicky, Florian Pfender, Jan Volec, Jozsef Balogh, Michael Young, Ping Hu

arxiv:1408.5296 v1 · 2014-08-22 · 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{XSH2NK75EZV52ANMSL6EKHGWC2}

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	2026-05-18T00:14:29.393430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc8fa6abfd266bdd01ac92fc451cd616a4920dfbbcf973f1d20cb5361639b9da

Aliases

arxiv: 1408.5296 · arxiv_version: 1408.5296v1 · doi: 10.48550/arxiv.1408.5296 · pith_short_12: XSH2NK75EZV5 · pith_short_16: XSH2NK75EZV52ANM · pith_short_8: XSH2NK75

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/XSH2NK75EZV52ANMSL6EKHGWC2 \
  | 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: bc8fa6abfd266bdd01ac92fc451cd616a4920dfbbcf973f1d20cb5361639b9da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38ad542d495d7e447f923b0b5c085b18b65c7dae35c7aa16b15777a32f890919",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-22T14:05:49Z",
    "title_canon_sha256": "d457de40d7fc3e378150ac807a376fddf739a65a5e4cffc194e5f23451c45c06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5296",
    "kind": "arxiv",
    "version": 1
  }
}