Pith Number

pith:CIXN4QUZ

pith:2012:CIXN4QUZYVK7ITRWOALSUQ7YNI

not attested not anchored not stored refs pending

Reduced Functional Dependence Graph and Its Applications

Satyajit Thakor, Xiaoli Xu, Yong Liang Guan

arxiv:1201.2231 v2 · 2012-01-11 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIXN4QUZYVK7ITRWOALSUQ7YNI}

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	2026-05-18T02:21:18.565833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

122ede4299c555f44e3670172a43f86a3fd366a985f451b1758eae261a995df3

Aliases

arxiv: 1201.2231 · arxiv_version: 1201.2231v2 · doi: 10.48550/arxiv.1201.2231 · pith_short_12: CIXN4QUZYVK7 · pith_short_16: CIXN4QUZYVK7ITRW · pith_short_8: CIXN4QUZ

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/CIXN4QUZYVK7ITRWOALSUQ7YNI \
  | 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: 122ede4299c555f44e3670172a43f86a3fd366a985f451b1758eae261a995df3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "792eb582cc81d9ebb3e3d0cd127ff2f64adafa457a9afd076bf3acdc12aaf278",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-01-11T03:18:30Z",
    "title_canon_sha256": "c7609541d10f7365680dacecd1ca23a136e03150dfe862efd47eed309e95f84c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2231",
    "kind": "arxiv",
    "version": 2
  }
}