Pith Number

pith:LRPTEX5F

pith:2016:LRPTEX5FHJFFDQBK5J6HJXYRAX

not attested not anchored not stored refs pending

Ramsey numbers for bipartite graphs with small bandwidth

Anusch Taraz, G\'abor N. S\'ark\"ozy, Guilherme O. Mota, Mathias Schacht

arxiv:1602.05972 v1 · 2016-02-18 · 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{LRPTEX5FHJFFDQBK5J6HJXYRAX}

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	2026-05-18T01:20:21.938281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c5f325fa53a4a51c02aea7c74df1105d93f205e638e9a5f30dd3d67e51775a3

Aliases

arxiv: 1602.05972 · arxiv_version: 1602.05972v1 · doi: 10.48550/arxiv.1602.05972 · pith_short_12: LRPTEX5FHJFF · pith_short_16: LRPTEX5FHJFFDQBK · pith_short_8: LRPTEX5F

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/LRPTEX5FHJFFDQBK5J6HJXYRAX \
  | 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: 5c5f325fa53a4a51c02aea7c74df1105d93f205e638e9a5f30dd3d67e51775a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fddd1ffec38e018e12b98ad9bdb86d5316b66692e888c2a0a5aacd81879baebe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-18T21:11:58Z",
    "title_canon_sha256": "38abd75feddafc0fcac418e77eff34b3c3465f93ef734db7aaf27512a96c761b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05972",
    "kind": "arxiv",
    "version": 1
  }
}