Pith Number

pith:YFARBLOF

pith:2018:YFARBLOFSTPA32R5ACVWLWNKPX

not attested not anchored not stored refs pending

An upper bound for the restricted online Ramsey number

David Gonzalez, Hanzhi Zheng, Xiaoyu He

arxiv:1812.04131 v2 · 2018-12-10 · 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{YFARBLOFSTPA32R5ACVWLWNKPX}

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	2026-05-17T23:44:00.103546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c14110adc594de0dea3d00ab65d9aa7df36fe4261b784f74ce720bb7547af31a

Aliases

arxiv: 1812.04131 · arxiv_version: 1812.04131v2 · doi: 10.48550/arxiv.1812.04131 · pith_short_12: YFARBLOFSTPA · pith_short_16: YFARBLOFSTPA32R5 · pith_short_8: YFARBLOF

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/YFARBLOFSTPA32R5ACVWLWNKPX \
  | 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: c14110adc594de0dea3d00ab65d9aa7df36fe4261b784f74ce720bb7547af31a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81d6d5935c80bcc6c13e86b396dd13a7c55028a858833c30fc5c58ebc490e821",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-10T22:19:08Z",
    "title_canon_sha256": "934f4ec5a4d48db1fcb7898c481ea180daf15ad948bde3182984486b4f715144"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04131",
    "kind": "arxiv",
    "version": 2
  }
}