Pith Number

pith:WUY3DN3S

pith:2013:WUY3DN3S6ETXMTKXQKGZ3SCK7K

not attested not anchored not stored refs pending

Lower bounds on geometric Ramsey functions

Edgardo Rold\'an-Pensado, Ji\v{r}\'i Matou\v{s}ek, Marek Eli\'a\v{s}, Zuzana Safernov\'a

arxiv:1307.5157 v3 · 2013-07-19 · 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{WUY3DN3S6ETXMTKXQKGZ3SCK7K}

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	2026-05-18T03:02:59.318955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b531b1b772f127764d57828d9dc84afa9da2b22bd7393e2f5789c96762c56270

Aliases

arxiv: 1307.5157 · arxiv_version: 1307.5157v3 · doi: 10.48550/arxiv.1307.5157 · pith_short_12: WUY3DN3S6ETX · pith_short_16: WUY3DN3S6ETXMTKX · pith_short_8: WUY3DN3S

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/WUY3DN3S6ETXMTKXQKGZ3SCK7K \
  | 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: b531b1b772f127764d57828d9dc84afa9da2b22bd7393e2f5789c96762c56270

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3820d9b2af0ea3fbee75667109ecd9d6d0f9bab3de1e3444a9030c173a5e0cde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-19T08:29:02Z",
    "title_canon_sha256": "49d26c7dabc78871721b13a80ecf9b3926975aab6a274c784edaa0abe8c870c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5157",
    "kind": "arxiv",
    "version": 3
  }
}