Pith Number

pith:CZVDSRLE

pith:2013:CZVDSRLELMQMV7IWQ2V642TX56

not attested not anchored not stored refs pending

A Collapse Theorem for Holographic Algorithms with Matchgates on Domain Size at Most 4

Jin-Yi Cai, Zhiguo Fu

arxiv:1305.1409 v2 · 2013-05-07 · 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{CZVDSRLELMQMV7IWQ2V642TX56}

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	2026-05-18T03:25:24.700666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

166a3945645b20cafd1686abee6a77efaebf8fd96ed8d1a930b307f6e96a6fcb

Aliases

arxiv: 1305.1409 · arxiv_version: 1305.1409v2 · doi: 10.48550/arxiv.1305.1409 · pith_short_12: CZVDSRLELMQM · pith_short_16: CZVDSRLELMQMV7IW · pith_short_8: CZVDSRLE

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/CZVDSRLELMQMV7IWQ2V642TX56 \
  | 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: 166a3945645b20cafd1686abee6a77efaebf8fd96ed8d1a930b307f6e96a6fcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e633d80d2ebfc5aec31861471d36cdb8c8e711f4fac8a4cd0dd61542e42d6211",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-05-07T05:19:48Z",
    "title_canon_sha256": "e2b0a2d408e7877d94becab74936aa794631a51608c4c73a469d5b3a588b573e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1409",
    "kind": "arxiv",
    "version": 2
  }
}