Pith Number

pith:4DHOML7Z

pith:2015:4DHOML7Z5RCKQ7L4ELPFFNNNOW

not attested not anchored not stored refs pending

Star-critical Ramsey number of $K_4$ versus $F_n$

A. Seify, H.R. Maimani, Sh. Haghi

arxiv:1511.08163 v1 · 2015-11-25 · 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{4DHOML7Z5RCKQ7L4ELPFFNNNOW}

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	2026-05-18T01:25:57.191065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0cee62ff9ec44a87d7c22de52b5ad7596d0088c89226ffcb209865d0a44e5db

Aliases

arxiv: 1511.08163 · arxiv_version: 1511.08163v1 · doi: 10.48550/arxiv.1511.08163 · pith_short_12: 4DHOML7Z5RCK · pith_short_16: 4DHOML7Z5RCKQ7L4 · pith_short_8: 4DHOML7Z

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/4DHOML7Z5RCKQ7L4ELPFFNNNOW \
  | 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: e0cee62ff9ec44a87d7c22de52b5ad7596d0088c89226ffcb209865d0a44e5db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11e0f6111aec5c90a7d708b8f9ffb08e4075c92d16ba7380c62a9fd2163c2608",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-25T19:10:28Z",
    "title_canon_sha256": "7c7f1183cd4ed6a811adfa6ac831bb3e37970afc8bde9a9fe367f5af13165de8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08163",
    "kind": "arxiv",
    "version": 1
  }
}