Pith Number

pith:BUBJE5QF

pith:2013:BUBJE5QFFGT2HYFUCG3J7NDI7W

not attested not anchored not stored refs pending

Typing linear algebra: A biproduct-oriented approach

Hugo Daniel Macedo (INRIA Paris-Rocquencourt), Jos\'e N. Oliveira (HASLab)

arxiv:1312.4818 v1 · 2013-12-17 · cs.SE · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BUBJE5QFFGT2HYFUCG3J7NDI7W}

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	2026-05-18T03:04:23.064544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d0292760529a7a3e0b411b69fb468fd8c8b631f99d9acf99b326cc2be0d9b5d

Aliases

arxiv: 1312.4818 · arxiv_version: 1312.4818v1 · doi: 10.48550/arxiv.1312.4818 · pith_short_12: BUBJE5QFFGT2 · pith_short_16: BUBJE5QFFGT2HYFU · pith_short_8: BUBJE5QF

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/BUBJE5QFFGT2HYFUCG3J7NDI7W \
  | 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: 0d0292760529a7a3e0b411b69fb468fd8c8b631f99d9acf99b326cc2be0d9b5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "531048f8a59943703cb698eaeedf637d4ea61b1682e8e9e8fad4afd5069ce27d",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SE",
    "submitted_at": "2013-12-17T15:13:48Z",
    "title_canon_sha256": "0901679cefa69299005ef2d1b45fbe6ce7688e79cf78dbea5ce83351d8345e2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4818",
    "kind": "arxiv",
    "version": 1
  }
}