Pith Number

pith:ONSBWQ3F

pith:2015:ONSBWQ3FVVZY3JPSDV64SN5AVD

not attested not anchored not stored refs pending

Modified vertex Folkman numbers

Aleksandar Bikov, Nedyalko Nenov

arxiv:1511.02125 v1 · 2015-11-06 · 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{ONSBWQ3FVVZY3JPSDV64SN5AVD}

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	2026-05-17T23:50:07.711295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73641b4365ad738da5f21d7dc937a0a8f4757323e0ac4cd0a14a94c4332016cc

Aliases

arxiv: 1511.02125 · arxiv_version: 1511.02125v1 · doi: 10.48550/arxiv.1511.02125 · pith_short_12: ONSBWQ3FVVZY · pith_short_16: ONSBWQ3FVVZY3JPS · pith_short_8: ONSBWQ3F

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/ONSBWQ3FVVZY3JPSDV64SN5AVD \
  | 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: 73641b4365ad738da5f21d7dc937a0a8f4757323e0ac4cd0a14a94c4332016cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0814c270598804d3741a0fdd7c9ca3aa0eb71b8489fe6940a9f7ad9fcd0dbf9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-06T15:50:21Z",
    "title_canon_sha256": "833d7b1f9efd042d93ae00d5efa36da4303d2101764571f1f4cd28f3c00da888"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02125",
    "kind": "arxiv",
    "version": 1
  }
}