Pith Number

pith:K4GQDEHK

pith:2013:K4GQDEHKPZK2OQBLXBQLC7QYKR

not attested not anchored not stored refs pending

Matchgates Revisited

Aaron Gorenstein, Jin-Yi Cai

arxiv:1303.6729 v2 · 2013-03-27 · 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{K4GQDEHKPZK2OQBLXBQLC7QYKR}

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	2026-05-18T03:29:38.399823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

570d0190ea7e55a7402bb860b17e1854532bcf787854e23e6715cff29067496c

Aliases

arxiv: 1303.6729 · arxiv_version: 1303.6729v2 · doi: 10.48550/arxiv.1303.6729 · pith_short_12: K4GQDEHKPZK2 · pith_short_16: K4GQDEHKPZK2OQBL · pith_short_8: K4GQDEHK

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/K4GQDEHKPZK2OQBLXBQLC7QYKR \
  | 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: 570d0190ea7e55a7402bb860b17e1854532bcf787854e23e6715cff29067496c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b4c030f0b2c650353c14463486fdbfd9df4ddd4130c0001c7e07c83600e6379",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-03-27T02:29:59Z",
    "title_canon_sha256": "d59936b6496b893cf6fc20dc7c1aa2bb9858ea54801525a623e9a89a24e76329"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6729",
    "kind": "arxiv",
    "version": 2
  }
}