Pith Number

pith:JGQCOCKH

pith:2016:JGQCOCKHZVOCP2PQSRLRQAYUDV

not attested not anchored not stored refs pending

Upper bounds on probability thresholds for asymmetric Ramsey properties

Mathias Schacht, Reto Sp\"ohel, Yoshiharu Kohayakawa

arxiv:1602.04059 v1 · 2016-02-12 · 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{JGQCOCKHZVOCP2PQSRLRQAYUDV}

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	2026-05-18T01:20:54.726073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49a0270947cd5c27e9f094571803141d5bcfa5c4d46d08d19987d060f19a50d4

Aliases

arxiv: 1602.04059 · arxiv_version: 1602.04059v1 · doi: 10.48550/arxiv.1602.04059 · pith_short_12: JGQCOCKHZVOC · pith_short_16: JGQCOCKHZVOCP2PQ · pith_short_8: JGQCOCKH

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/JGQCOCKHZVOCP2PQSRLRQAYUDV \
  | 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: 49a0270947cd5c27e9f094571803141d5bcfa5c4d46d08d19987d060f19a50d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaf283a4bfff78b63fa47bbbed357140bbd5b20f9937e5766659acd2dba3e4f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-12T14:04:47Z",
    "title_canon_sha256": "4a7f56d6420c90a4305b03082525fb1aeff89dcf3a6b2f7d82d561435ebee5d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04059",
    "kind": "arxiv",
    "version": 1
  }
}