Pith Number

pith:7PWZ7JBD

pith:2015:7PWZ7JBDVIIR5DQOBQ3YNBLGJJ

not attested not anchored not stored refs pending

On the vertex Folkman numbers $F_v(a_1, ..., a_s; m - 1)$ when $\max\{a_1, ..., a_s\} = 6$ or $7$

Aleksandar Bikov, Nedyalko Nenov

arxiv:1512.02051 v2 · 2015-12-07 · 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{7PWZ7JBDVIIR5DQOBQ3YNBLGJJ}

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	2026-05-17T23:50:07.694902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbed9fa423aa111e8e0e0c378685664a7b44e86b283a470a36dca3f04b9adb27

Aliases

arxiv: 1512.02051 · arxiv_version: 1512.02051v2 · doi: 10.48550/arxiv.1512.02051 · pith_short_12: 7PWZ7JBDVIIR · pith_short_16: 7PWZ7JBDVIIR5DQO · pith_short_8: 7PWZ7JBD

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/7PWZ7JBDVIIR5DQOBQ3YNBLGJJ \
  | 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: fbed9fa423aa111e8e0e0c378685664a7b44e86b283a470a36dca3f04b9adb27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47972873692c813c38bb2d5771c5f672649ca7ee344850f1d97c968c53a71d46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-07T14:09:14Z",
    "title_canon_sha256": "b9f600b7054175542b60b66e6641fd68aa126fb2975e4105dfe4633e608185fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02051",
    "kind": "arxiv",
    "version": 2
  }
}