Pith Number

pith:NJK5FS47

pith:2023:NJK5FS47YWHNBDW6B5YEBKWFY2

not attested not anchored not stored refs pending

Proof of a Conjecture on Online Ramsey Numbers of Stars versus Paths

Ruyu Song, Sha Wang, Yanbo Zhang

arxiv:2302.08787 v1 · 2023-02-17 · 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{NJK5FS47YWHNBDW6B5YEBKWFY2}

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	2026-07-05T05:42:54.683444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a55d2cb9fc58ed08ede0f7040aac5c69696518e7b6f134164a1826878740ab5

Aliases

arxiv: 2302.08787 · arxiv_version: 2302.08787v1 · doi: 10.48550/arxiv.2302.08787 · pith_short_12: NJK5FS47YWHN · pith_short_16: NJK5FS47YWHNBDW6 · pith_short_8: NJK5FS47

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/NJK5FS47YWHNBDW6B5YEBKWFY2 \
  | 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: 6a55d2cb9fc58ed08ede0f7040aac5c69696518e7b6f134164a1826878740ab5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1774db1fed311f8df23ccba993e15c235836ee3a478169b5935e2d9fdfb17c70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-02-17T10:07:28Z",
    "title_canon_sha256": "675a9dc73ae6eb3eda29866a15324e0b459c3a52830571bd589087b354d7ade1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.08787",
    "kind": "arxiv",
    "version": 1
  }
}