Pith Number

pith:GUZS6T4A

pith:2025:GUZS6T4ANH4GXGK6N22A7FJ262

not attested not anchored not stored refs pending

Random-projector quantum diagnostics of Ramsey numbers and a prime-factor heuristic for $R(5,5)=45$

Fabrizio Tamburini

arxiv:2508.16699 v2 · 2025-08-22 · quant-ph · 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{GUZS6T4ANH4GXGK6N22A7FJ262}

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	2026-07-05T12:09:23.069158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35332f4f8069f86b995e6eb40f953af693ce09d25ba5bfaf34e856115bac8b97

Aliases

arxiv: 2508.16699 · arxiv_version: 2508.16699v2 · doi: 10.48550/arxiv.2508.16699 · pith_short_12: GUZS6T4ANH4G · pith_short_16: GUZS6T4ANH4GXGK6 · pith_short_8: GUZS6T4A

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/GUZS6T4ANH4GXGK6N22A7FJ262 \
  | 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: 35332f4f8069f86b995e6eb40f953af693ce09d25ba5bfaf34e856115bac8b97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d9ef18434528e62ff122da06bc823f885757f8fbf51e68e23f8844d23799869",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-08-22T03:28:43Z",
    "title_canon_sha256": "f6e05ed2c7af4e53c1b40d7dca36b3d185948268e887cd3ba8ac33017421b4ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.16699",
    "kind": "arxiv",
    "version": 2
  }
}