Pith Number

pith:3HPEFGYZ

pith:2022:3HPEFGYZJTWVYDAK745PE3FOXX

not attested not anchored not stored refs pending

A Ihara-Bass Formula for Non-Boolean Matrices and Strong Refutations of Random CSPs

Luca Trevisan, Tommaso d'Orsi

arxiv:2204.10881 v2 · 2022-04-20 · cs.CC · cs.AI · cs.LO · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3HPEFGYZJTWVYDAK745PE3FOXX}

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	2026-07-05T06:09:42.825904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9de429b194ced5c0c0aff3af26caebdf753b4be51306aae9759cb48c261334d

Aliases

arxiv: 2204.10881 · arxiv_version: 2204.10881v2 · doi: 10.48550/arxiv.2204.10881 · pith_short_12: 3HPEFGYZJTWV · pith_short_16: 3HPEFGYZJTWVYDAK · pith_short_8: 3HPEFGYZ

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/3HPEFGYZJTWVYDAK745PE3FOXX \
  | 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: d9de429b194ced5c0c0aff3af26caebdf753b4be51306aae9759cb48c261334d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10e48b76cae7de4df643f4c9c65506b885430c58c26de5e864d4b540bef33ab7",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LO",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2022-04-20T16:21:21Z",
    "title_canon_sha256": "cea06480a80218201e5d24e36bfe3592b7c562d31f4f57ad1665f004b4fc99fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.10881",
    "kind": "arxiv",
    "version": 2
  }
}