Pith Number

pith:HMITZHIQ

pith:2019:HMITZHIQQ4HBWFHWOFP4FQDZX3

not attested not anchored not stored refs pending

The size Ramsey number of graphs with bounded treewidth

Anita Liebenau, David R. Wood, Liana Yepremyan, Nina Kamcev

arxiv:1906.09185 v2 · 2019-06-21 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HMITZHIQQ4HBWFHWOFP4FQDZX3}

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	2026-05-17T23:39:23.829636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b113c9d10870e1b14f6715fc2c079bef5cbd347e80ff7e801803760624da3c0

Aliases

arxiv: 1906.09185 · arxiv_version: 1906.09185v2 · doi: 10.48550/arxiv.1906.09185 · pith_short_12: HMITZHIQQ4HB · pith_short_16: HMITZHIQQ4HBWFHW · pith_short_8: HMITZHIQ

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/HMITZHIQQ4HBWFHWOFP4FQDZX3 \
  | 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: 3b113c9d10870e1b14f6715fc2c079bef5cbd347e80ff7e801803760624da3c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4cab77d7a220653d7ecd2743078ab958159ad3cc15f42bb9db26a69d1b5749f",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-21T15:17:30Z",
    "title_canon_sha256": "40f8415d9549b139d2ca7761370ebe6b832dd475b46aaafd7e5c0f96be22c524"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09185",
    "kind": "arxiv",
    "version": 2
  }
}