Pith Number

pith:LNZMTHHC

pith:2011:LNZMTHHC2TGGQ4DD7OTBTRGECO

not attested not anchored not stored refs pending

Logic circuits from zero forcing

Daniel Burgarth, Leslie Hogben, Michael Young, Simone Severini, Vittorio Giovannetti

arxiv:1106.4403 v4 · 2011-06-22 · cs.DM · cs.ET · math.CO · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LNZMTHHC2TGGQ4DD7OTBTRGECO}

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	2026-05-18T00:53:03.168523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b72c99ce2d4cc687063fba619c4c4139101a0d8948294e5d865a164fad58eff

Aliases

arxiv: 1106.4403 · arxiv_version: 1106.4403v4 · doi: 10.48550/arxiv.1106.4403 · pith_short_12: LNZMTHHC2TGG · pith_short_16: LNZMTHHC2TGGQ4DD · pith_short_8: LNZMTHHC

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/LNZMTHHC2TGGQ4DD7OTBTRGECO \
  | 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: 5b72c99ce2d4cc687063fba619c4c4139101a0d8948294e5d865a164fad58eff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9045f8adb2c8efee483696e7f0e937017a065887a20168d10373b5bc10a2b2d0",
    "cross_cats_sorted": [
      "cs.ET",
      "math.CO",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-06-22T09:28:41Z",
    "title_canon_sha256": "a05aeca74c362e1c62e9afcb70b32832e7a8cd0f559710393467e42c281938fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4403",
    "kind": "arxiv",
    "version": 4
  }
}