Pith Number

pith:RLBVGK2L

pith:2015:RLBVGK2LGBCTB5RHN3FZ4PVY6D

not attested not anchored not stored refs pending

On subspaces of invariant vectors

Tatiana Shulman

arxiv:1509.05263 v1 · 2015-09-17 · math.GR · math.FA · 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{RLBVGK2LGBCTB5RHN3FZ4PVY6D}

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	2026-05-18T01:32:49.476502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ac3532b4b304530f6276ecb9e3eb8f0c1e3a80c2d8c6c9c80b5ce25f1a6deb7

Aliases

arxiv: 1509.05263 · arxiv_version: 1509.05263v1 · doi: 10.48550/arxiv.1509.05263 · pith_short_12: RLBVGK2LGBCT · pith_short_16: RLBVGK2LGBCTB5RH · pith_short_8: RLBVGK2L

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/RLBVGK2LGBCTB5RHN3FZ4PVY6D \
  | 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: 8ac3532b4b304530f6276ecb9e3eb8f0c1e3a80c2d8c6c9c80b5ce25f1a6deb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40e59e509463fd556965ad9a5e72070a9b649a8cdca43924b1271040579e3937",
    "cross_cats_sorted": [
      "math.FA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-09-17T14:04:21Z",
    "title_canon_sha256": "066ff36ec179b99ac6661846b20c87e8358b7bd023caec33c59aa6f0864ebf01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05263",
    "kind": "arxiv",
    "version": 1
  }
}