Pith Number

pith:XGB4UKYL

pith:2015:XGB4UKYLE73T5GXJUGTHG2IAKQ

not attested not anchored not stored refs pending

A weighted pair graph representation for reconstructibility of Boolean control networks

Kuize Zhang, Lijun Zhang, Rong Su

arxiv:1512.02786 v2 · 2015-12-09 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XGB4UKYLE73T5GXJUGTHG2IAKQ}

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	2026-05-18T01:02:45.390527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b983ca2b0b27f73e9ae9a1a67369005416238cc9812f1fd0cf1d28fa7f5c20fa

Aliases

arxiv: 1512.02786 · arxiv_version: 1512.02786v2 · doi: 10.48550/arxiv.1512.02786 · pith_short_12: XGB4UKYLE73T · pith_short_16: XGB4UKYLE73T5GXJ · pith_short_8: XGB4UKYL

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/XGB4UKYLE73T5GXJUGTHG2IAKQ \
  | 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: b983ca2b0b27f73e9ae9a1a67369005416238cc9812f1fd0cf1d28fa7f5c20fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bea2814b35d6f7fd6c6f0bd745c2b72918ad74a792e9e5514f93e4bb3eb55250",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-12-09T08:41:52Z",
    "title_canon_sha256": "8736072177547ba743577ff69c3f37716a7ac81c3c404bdecdb20e8199651f5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02786",
    "kind": "arxiv",
    "version": 2
  }
}