Pith Number

pith:Z4HUB3I6

pith:2017:Z4HUB3I6QLM7G6U7IZJWFDL75R

not attested not anchored not stored refs pending

A Note on Upper Bounds for Some Generalized Folkman Numbers

Meilian Liang, Stanis{\l}aw Radziszowski, Xiaodong Xu

arxiv:1708.00125 v1 · 2017-08-01 · 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{Z4HUB3I6QLM7G6U7IZJWFDL75R}

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	2026-05-18T00:39:05.974618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf0f40ed1e82d9f37a9f4653628d7fec454b3b6144c0bfd12fb72afb3832e347

Aliases

arxiv: 1708.00125 · arxiv_version: 1708.00125v1 · doi: 10.48550/arxiv.1708.00125 · pith_short_12: Z4HUB3I6QLM7 · pith_short_16: Z4HUB3I6QLM7G6U7 · pith_short_8: Z4HUB3I6

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/Z4HUB3I6QLM7G6U7IZJWFDL75R \
  | 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: cf0f40ed1e82d9f37a9f4653628d7fec454b3b6144c0bfd12fb72afb3832e347

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0d9fd5d852cb27d4684cabd92c6e091293a4cc18beb6e78679f655ac56bb983",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-01T01:29:54Z",
    "title_canon_sha256": "5860142251a280b197aba26a2a87d01a1ff2a51d9a6fefc20cb88c23c4a328be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00125",
    "kind": "arxiv",
    "version": 1
  }
}