Pith Number

pith:4USCRHB3

pith:2017:4USCRHB3WZGYJ6GQUFX47VJIRT

not attested not anchored not stored refs pending

An improved lower bound for Folkman's theorem

Adam Zsolt Wagner, Andrew Treglown, Bhargav Narayanan, J\'ozsef Balogh, Sean Eberhard

arxiv:1703.02473 v2 · 2017-03-07 · 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{4USCRHB3WZGYJ6GQUFX47VJIRT}

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	2026-05-18T00:41:24.644055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e524289c3bb64d84f8d0a16fcfd5288cfe273612143c41d6f6973d46b805dd4a

Aliases

arxiv: 1703.02473 · arxiv_version: 1703.02473v2 · doi: 10.48550/arxiv.1703.02473 · pith_short_12: 4USCRHB3WZGY · pith_short_16: 4USCRHB3WZGYJ6GQ · pith_short_8: 4USCRHB3

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/4USCRHB3WZGYJ6GQUFX47VJIRT \
  | 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: e524289c3bb64d84f8d0a16fcfd5288cfe273612143c41d6f6973d46b805dd4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d497675bc07eb789182c57247f6be6c023452b96f0c143269fa18ed7f77251b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-07T17:03:51Z",
    "title_canon_sha256": "2cbbf1f4478a9a81b9d915f858069c26948ece00e9b37bfad045ed1fb943a333"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02473",
    "kind": "arxiv",
    "version": 2
  }
}