Pith Number

pith:BTCUJBLZ

pith:2011:BTCUJBLZUD2JEMH7RFN52CP5WV

not attested not anchored not stored refs pending

Normal Factor Graphs: A Diagrammatic Approach to Linear Algebra

Ali Al-Bashabsheh, Pascal O. Vontobel, Yongyi Mao

arxiv:1102.5755 v2 · 2011-02-28 · 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{BTCUJBLZUD2JEMH7RFN52CP5WV}

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	2026-05-18T03:45:32.049603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cc5448579a0f49230ff895bdd09fdb5641e9a87e575841678aa5afa708b9c54

Aliases

arxiv: 1102.5755 · arxiv_version: 1102.5755v2 · doi: 10.48550/arxiv.1102.5755 · pith_short_12: BTCUJBLZUD2J · pith_short_16: BTCUJBLZUD2JEMH7 · pith_short_8: BTCUJBLZ

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/BTCUJBLZUD2JEMH7RFN52CP5WV \
  | 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: 0cc5448579a0f49230ff895bdd09fdb5641e9a87e575841678aa5afa708b9c54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b6feb7563ebd92f4982de7c65bd510112e4a8d2a2f4895cb85f0a15481acbf0",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-02-28T19:52:14Z",
    "title_canon_sha256": "294134ed8914ffccfeb5e4858a5b58c9461d9c72bdf35cdf1887a83a765efaec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5755",
    "kind": "arxiv",
    "version": 2
  }
}