Pith Number

pith:VWNJWFOS

pith:2025:VWNJWFOSEBAVBOQXCPWRWF2KKN

not attested not anchored not stored refs pending

The Star Product of Uniformly Random Codes

Alberto Ravagnani, Benjamin Jany, Camilla Hollanti, Johan Vester Dinesen, Ragnar Freij-Hollanti

arxiv:2511.17236 v2 · 2025-11-21 · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VWNJWFOSEBAVBOQXCPWRWF2KKN}

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	2026-06-26T01:15:47.474912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad9a9b15d2204150ba1713ed1b174a536389204e5460bf4a94f2ca4808502ffa

Aliases

arxiv: 2511.17236 · arxiv_version: 2511.17236v2 · doi: 10.48550/arxiv.2511.17236 · pith_short_12: VWNJWFOSEBAV · pith_short_16: VWNJWFOSEBAVBOQX · pith_short_8: VWNJWFOS

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/VWNJWFOSEBAVBOQXCPWRWF2KKN \
  | 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: ad9a9b15d2204150ba1713ed1b174a536389204e5460bf4a94f2ca4808502ffa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03b645c1dd6bf0f80ed04898a201023b51cf604e47f185e33abc78e3e6fd5b23",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-11-21T13:27:16Z",
    "title_canon_sha256": "ce444d7d5dfee91f23b0c3b671b3f535d40f7b317fdf2ff812123f5334de9488"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.17236",
    "kind": "arxiv",
    "version": 2
  }
}