Pith Number

pith:3QJRSSL2

pith:2026:3QJRSSL2AN3S3IOYLJ7JZFWUH2

not attested not anchored not stored refs pending

A Paturi Theorem for Signed Subcube Representations

Hangyu Liu

arxiv:2608.06256 v1 · 2026-08-06 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QJRSSL2AN3S3IOYLJ7JZFWUH2}

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	2026-08-07T01:41:04.097620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc1319497a03772da1d85a7e9c96d43e90fbdfe43bdd21f86778c3c20b1d5827

Aliases

arxiv: 2608.06256 · arxiv_version: 2608.06256v1 · doi: 10.48550/arxiv.2608.06256 · pith_short_12: 3QJRSSL2AN3S · pith_short_16: 3QJRSSL2AN3S3IOY · pith_short_8: 3QJRSSL2

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/3QJRSSL2AN3S3IOYLJ7JZFWUH2 \
  | 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: dc1319497a03772da1d85a7e9c96d43e90fbdfe43bdd21f86778c3c20b1d5827

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "003151ee873e1e14dea2b75252630410f3ab50e9d18f400ea6958f6582e1302d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-08-06T16:45:20Z",
    "title_canon_sha256": "7efdb145fc4bb9a59cf62d5c9f9aab55fbddf980b069e810bf2b6d6694593afd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06256",
    "kind": "arxiv",
    "version": 1
  }
}