Pith Number

pith:Z2LHWERH

pith:2015:Z2LHWERHNVZ7G4NUSSFFM6ZYXL

not attested not anchored not stored refs pending

Classifying $\mathsf{GL}(n,\mathbb Z)$-orbits of points and rational subspaces

Daniele Mundici, Leonardo Manuel Cabrer

arxiv:1507.06826 v1 · 2015-07-24 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2LHWERHNVZ7G4NUSSFFM6ZYXL}

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	2026-05-18T01:36:21.935406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce967b12276d73f371b4948a567b38bae607a0428311a2f0fcdc4adb120bd5af

Aliases

arxiv: 1507.06826 · arxiv_version: 1507.06826v1 · doi: 10.48550/arxiv.1507.06826 · pith_short_12: Z2LHWERHNVZ7 · pith_short_16: Z2LHWERHNVZ7G4NU · pith_short_8: Z2LHWERH

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/Z2LHWERHNVZ7G4NUSSFFM6ZYXL \
  | 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: ce967b12276d73f371b4948a567b38bae607a0428311a2f0fcdc4adb120bd5af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "597bcbbae8ab45322975889d1f025597b5ad49ac8de7d9c0b02e37c652f361e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-07-24T12:52:26Z",
    "title_canon_sha256": "3bff71653dc2cae399591b19019048bd7f0803a9f8490f92082ce859cf68ff76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06826",
    "kind": "arxiv",
    "version": 1
  }
}