Pith Number

pith:PCC2Z4FP

pith:2022:PCC2Z4FPN4DTHQU5U56ZOFNRDS

not attested not anchored not stored refs pending

Fan-complete Ramsey numbers

Fan Chung, Qizhong Lin

arxiv:2208.05829 v2 · 2022-08-11 · 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{PCC2Z4FPN4DTHQU5U56ZOFNRDS}

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.

Cited by

1 paper in Pith

Fan-goodness of sparse graphs

Receipt and verification

First computed	2026-07-05T10:07:00.229697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7885acf0af6f0733c29da77d9715b11cbeac3f3e5f1a56cb16d5610d2fde6fa6

Aliases

arxiv: 2208.05829 · arxiv_version: 2208.05829v2 · doi: 10.48550/arxiv.2208.05829 · pith_short_12: PCC2Z4FPN4DT · pith_short_16: PCC2Z4FPN4DTHQU5 · pith_short_8: PCC2Z4FP

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/PCC2Z4FPN4DTHQU5U56ZOFNRDS \
  | 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: 7885acf0af6f0733c29da77d9715b11cbeac3f3e5f1a56cb16d5610d2fde6fa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25004b79d9a6d21c6f60cc95788ab81282a147800b96eaa28c0a01591cb5dba9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-08-11T13:54:29Z",
    "title_canon_sha256": "12915dd9f4895eeeb9b592694c3bed26235c3de4f2c739ce23aead288708ece3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.05829",
    "kind": "arxiv",
    "version": 2
  }
}