Pith Number

pith:IL6ECWVN

pith:2013:IL6ECWVNYSS2CU3GEEEIRGRKMX

not attested not anchored not stored refs pending

The complexity of proving that a graph is Ramsey

Massimo Lauria, Neil Thapen, Pavel Pudl\'ak, Vojt\v{e}ch R\"odl

arxiv:1303.3166 v1 · 2013-03-13 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IL6ECWVNYSS2CU3GEEEIRGRKMX}

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	2026-05-18T03:31:05.610981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42fc415aadc4a5a153662108889a2a65d229619b44b352ed705060ac9e2a95f1

Aliases

arxiv: 1303.3166 · arxiv_version: 1303.3166v1 · doi: 10.48550/arxiv.1303.3166 · pith_short_12: IL6ECWVNYSS2 · pith_short_16: IL6ECWVNYSS2CU3G · pith_short_8: IL6ECWVN

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/IL6ECWVNYSS2CU3GEEEIRGRKMX \
  | 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: 42fc415aadc4a5a153662108889a2a65d229619b44b352ed705060ac9e2a95f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd1ec5ff8f5ad71f1918df93c5787bd838b48a56a705ab081d23a37c46f6f47b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-03-13T14:15:31Z",
    "title_canon_sha256": "09e0dbab6b479b03f95f8acd0b6d0c2315afe012f09110e584fec05c0124dc40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3166",
    "kind": "arxiv",
    "version": 1
  }
}