Pith Number

pith:ZGMSDV3B

pith:2015:ZGMSDV3BGAKMORWNL6XFUS4SXV

not attested not anchored not stored refs pending

Invariants of commuting matrices

Claudio Procesi

arxiv:1501.05190 v3 · 2015-01-21 · math.AC · 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{ZGMSDV3BGAKMORWNL6XFUS4SXV}

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	2026-05-18T02:27:18.079073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c99921d7613014c746cd5fae5a4b92bd75ea02442d77cc95a7da31c6afb33757

Aliases

arxiv: 1501.05190 · arxiv_version: 1501.05190v3 · doi: 10.48550/arxiv.1501.05190 · pith_short_12: ZGMSDV3BGAKM · pith_short_16: ZGMSDV3BGAKMORWN · pith_short_8: ZGMSDV3B

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/ZGMSDV3BGAKMORWNL6XFUS4SXV \
  | 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: c99921d7613014c746cd5fae5a4b92bd75ea02442d77cc95a7da31c6afb33757

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "139b894932809e17320a2ebbd1ae2f310e7c10de607cb8803a85a93cfe954746",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-01-21T15:15:36Z",
    "title_canon_sha256": "4762b66fd19aad239dcd798bfc1abf3da9181a9b9de672b02e6cf2dc21defbad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05190",
    "kind": "arxiv",
    "version": 3
  }
}