Pith Number

pith:PXVENZGE

pith:2016:PXVENZGERUGFWXPBZP2JHTEMCD

not attested not anchored not stored refs pending

Ramsey properties of random graphs and Folkman numbers

Andrzej Ruci\'nski, Mathias Schacht, Vojt\v{e}ch R\"odl

arxiv:1603.00517 v2 · 2016-03-01 · 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{PXVENZGERUGFWXPBZP2JHTEMCD}

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	2026-05-18T00:40:13.993141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dea46e4c48d0c5b5de1cbf493cc8c10ccc02c435befc8c1ebb26bd3f3472dc7

Aliases

arxiv: 1603.00517 · arxiv_version: 1603.00517v2 · doi: 10.48550/arxiv.1603.00517 · pith_short_12: PXVENZGERUGF · pith_short_16: PXVENZGERUGFWXPB · pith_short_8: PXVENZGE

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/PXVENZGERUGFWXPBZP2JHTEMCD \
  | 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: 7dea46e4c48d0c5b5de1cbf493cc8c10ccc02c435befc8c1ebb26bd3f3472dc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc1c0c866bc0c099665b92efda13a54d6dbc1f3270c8f0df0b61cb1f47f1ad46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-01T22:53:44Z",
    "title_canon_sha256": "22aee60760f22cc25bbab858bffd216e0d1a1300fca9b6d01f6551ee560f8f6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00517",
    "kind": "arxiv",
    "version": 2
  }
}