Pith Number

pith:V7GQEPS6

pith:2016:V7GQEPS6AM2EIWQC2BDTT2FGKN

not attested not anchored not stored refs pending

Formalized linear algebra over Elementary Divisor Rings in Coq

Anders M\"ortberg, Cyril Cohen, Guillaume Cano, Maxime D\'en\`es, Vincent Siles

arxiv:1601.07472 v2 · 2016-01-27 · cs.LO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7GQEPS6AM2EIWQC2BDTT2FGKN}

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	2026-05-17T23:51:23.824278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afcd023e5e0334445a02d04739e8a6536ae7c0b448acbb1b7cbf8d6f161d0a45

Aliases

arxiv: 1601.07472 · arxiv_version: 1601.07472v2 · doi: 10.48550/arxiv.1601.07472 · pith_short_12: V7GQEPS6AM2E · pith_short_16: V7GQEPS6AM2EIWQC · pith_short_8: V7GQEPS6

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/V7GQEPS6AM2EIWQC2BDTT2FGKN \
  | 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: afcd023e5e0334445a02d04739e8a6536ae7c0b448acbb1b7cbf8d6f161d0a45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba279e4f96977b533fe0ebe4b2b0ed3e8297f8a20dce4ac8ee115393ebed66cd",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-01-27T18:03:42Z",
    "title_canon_sha256": "12eb0e0a3f39ad2a85f9d47c238f6ede08a7f949072cd0855f83372896ac2a6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07472",
    "kind": "arxiv",
    "version": 2
  }
}