Pith Number

pith:OLST5TMI

pith:2016:OLST5TMIFYGPOAAUCNELJRUGRL

not attested not anchored not stored refs pending

An exponential-type upper bound for Folkman numbers

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

arxiv:1603.00521 v1 · 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{OLST5TMIFYGPOAAUCNELJRUGRL}

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	2026-05-18T00:31:45.464415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72e53ecd882e0cf700141348b4c6868aebded2fc8c58aa2a5e9a98232bc28b6c

Aliases

arxiv: 1603.00521 · arxiv_version: 1603.00521v1 · doi: 10.48550/arxiv.1603.00521 · pith_short_12: OLST5TMIFYGP · pith_short_16: OLST5TMIFYGPOAAU · pith_short_8: OLST5TMI

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/OLST5TMIFYGPOAAUCNELJRUGRL \
  | 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: 72e53ecd882e0cf700141348b4c6868aebded2fc8c58aa2a5e9a98232bc28b6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be231d55ae04fe07e963742971651a5cd9f445003327fc5d58896fac43761992",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-01T22:59:04Z",
    "title_canon_sha256": "0cfdf5713e123ba1082bab0ca522d21f3c5c6fd9f8ddce92671ff1ff236659e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00521",
    "kind": "arxiv",
    "version": 1
  }
}