Pith Number

pith:BN56EF6L

pith:2026:BN56EF6LWBMZVFQ3ZE3FNALNPT

not attested not anchored not stored refs pending

Nearly tight exponents for off-diagonal Ramsey numbers

Domagoj Brada\v{c}

arxiv:2605.28793 v1 · 2026-05-27 · 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{BN56EF6LWBMZVFQ3ZE3FNALNPT}

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	2026-05-28T02:05:03.759924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b7be217cbb0599a961bc93656816d7cf26d5565096c030a52e5d56bf3e372ee

Aliases

arxiv: 2605.28793 · arxiv_version: 2605.28793v1 · doi: 10.48550/arxiv.2605.28793 · pith_short_12: BN56EF6LWBMZ · pith_short_16: BN56EF6LWBMZVFQ3 · pith_short_8: BN56EF6L

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/BN56EF6LWBMZVFQ3ZE3FNALNPT \
  | 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: 0b7be217cbb0599a961bc93656816d7cf26d5565096c030a52e5d56bf3e372ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3d4b8c31b928aedfbab266f51abc4619f232d6551c371d6ee32b24734b8b057",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-27T17:50:42Z",
    "title_canon_sha256": "6dfb67e6b9dd58d870d2cc177c20564908e4036fb54241ed115cd439a97c83c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28793",
    "kind": "arxiv",
    "version": 1
  }
}