Pith Number

pith:VBSAKZ3R

pith:2017:VBSAKZ3RTMCMDYLWJFYMBOX2AQ

not attested not anchored not stored refs pending

Lower bounding the Folkman numbers $F_v(a_1, ..., a_s; m - 1)$

Aleksandar Bikov, Nedyalko Nenov

arxiv:1711.01535 v1 · 2017-11-05 · 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{VBSAKZ3RTMCMDYLWJFYMBOX2AQ}

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	2026-05-17T23:50:07.497582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8640567719b04c1e1764970c0bafa043689a251919be1d699683215bf6c21cc

Aliases

arxiv: 1711.01535 · arxiv_version: 1711.01535v1 · doi: 10.48550/arxiv.1711.01535 · pith_short_12: VBSAKZ3RTMCM · pith_short_16: VBSAKZ3RTMCMDYLW · pith_short_8: VBSAKZ3R

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/VBSAKZ3RTMCMDYLWJFYMBOX2AQ \
  | 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: a8640567719b04c1e1764970c0bafa043689a251919be1d699683215bf6c21cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb3bbe62ac42d64b1a9cc90bb30f00de2716ece8583305124d48b58cb41fd1c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-05T05:38:44Z",
    "title_canon_sha256": "ec47be59cb70ce3fc63bf6e24905b2189dbc79e7cb43bcccc1194beae4b50994"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01535",
    "kind": "arxiv",
    "version": 1
  }
}