Pith Number

pith:D42QYTU2

pith:2011:D42QYTU2TBDYXZ3GFFZJQQWC7H

not attested not anchored not stored refs pending

The left invariant metric in the general linear group

Alejandro Varela, Esteban Andruchow, Gabriel Larotonda, Lazaro Recht

arxiv:1109.0520 v1 · 2011-09-02 · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D42QYTU2TBDYXZ3GFFZJQQWC7H}

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	2026-05-18T04:14:15.479597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f350c4e9a98478be76629729842c2f9f5f6ef327a8ede573f9679be22a5846e

Aliases

arxiv: 1109.0520 · arxiv_version: 1109.0520v1 · doi: 10.48550/arxiv.1109.0520 · pith_short_12: D42QYTU2TBDY · pith_short_16: D42QYTU2TBDYXZ3G · pith_short_8: D42QYTU2

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/D42QYTU2TBDYXZ3GFFZJQQWC7H \
  | 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: 1f350c4e9a98478be76629729842c2f9f5f6ef327a8ede573f9679be22a5846e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9933215ac199ff0133bec94c749b190c3109911c5c56c9264de601577b0187bc",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-02T18:54:01Z",
    "title_canon_sha256": "5e13f58620715fc631d1521f47efeb435456c118ae8054267b74a86478cfd43b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0520",
    "kind": "arxiv",
    "version": 1
  }
}