Pith Number

pith:TNQYYCX7

pith:2019:TNQYYCX7SSU3J6KWWPXW7EPTZG

not attested not anchored not stored refs pending

Commuting matrices and volumes of linear stacks

Sergey Mozgovoy

arxiv:1901.00690 v2 · 2019-01-03 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNQYYCX7SSU3J6KWWPXW7EPTZG}

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	2026-05-17T23:55:26.930383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b618c0aff94a9b4f956b3ef6f91f3c997f6c265591335305bd1a8c7381bb91d

Aliases

arxiv: 1901.00690 · arxiv_version: 1901.00690v2 · doi: 10.48550/arxiv.1901.00690 · pith_short_12: TNQYYCX7SSU3 · pith_short_16: TNQYYCX7SSU3J6KW · pith_short_8: TNQYYCX7

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/TNQYYCX7SSU3J6KWWPXW7EPTZG \
  | 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: 9b618c0aff94a9b4f956b3ef6f91f3c997f6c265591335305bd1a8c7381bb91d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "869b18014f03a600051667f6f06fac3e408a981c10d401ff8ab3fe95a35da71b",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-01-03T11:31:46Z",
    "title_canon_sha256": "f51b37f95fd3ac65143e9f05ac269ebc1e61874b66948ac03dd6ca8f72f3b8a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00690",
    "kind": "arxiv",
    "version": 2
  }
}