Pith Number

pith:HUGN3DKT

pith:2021:HUGN3DKT5P3R5IF4M6SYXMB3Z3

not attested not anchored not stored refs pending

Constructing the Oseledets decomposition with subspace growth estimates

George Lee

arxiv:2110.13226 v3 · 2021-10-25 · 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{HUGN3DKT5P3R5IF4M6SYXMB3Z3}

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	2026-07-05T04:51:53.341357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d0cdd8d53ebf71ea0bc67a58bb03bcecaf13b575e65ff54d640837759960293

Aliases

arxiv: 2110.13226 · arxiv_version: 2110.13226v3 · doi: 10.48550/arxiv.2110.13226 · pith_short_12: HUGN3DKT5P3R · pith_short_16: HUGN3DKT5P3R5IF4 · pith_short_8: HUGN3DKT

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/HUGN3DKT5P3R5IF4M6SYXMB3Z3 \
  | 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: 3d0cdd8d53ebf71ea0bc67a58bb03bcecaf13b575e65ff54d640837759960293

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8af42bceeaab1b7fdb3d50944e86a401a3fed96bba5f9066837f5d422f23a0f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2021-10-25T19:21:09Z",
    "title_canon_sha256": "bdb0f4aec04d32dcd37fe6a590634266d2bdc4a9e216ee5e93df5cfa23bfc870"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.13226",
    "kind": "arxiv",
    "version": 3
  }
}