Pith Number

pith:3PR4IL2J

pith:2010:3PR4IL2JP4Q6YVZNMES2VM6IZA

not attested not anchored not stored refs pending

Linear Representation of Lie Group

Aleks Kleyn

arxiv:1003.3714 v2 · 2010-03-19 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3PR4IL2JP4Q6YVZNMES2VM6IZA}

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	2026-05-18T03:14:17.882103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbe3c42f497f21ec572d6125aab3c8c81faae4fa81dcd96e2c05b13113f516e5

Aliases

arxiv: 1003.3714 · arxiv_version: 1003.3714v2 · doi: 10.48550/arxiv.1003.3714 · pith_short_12: 3PR4IL2JP4Q6 · pith_short_16: 3PR4IL2JP4Q6YVZN · pith_short_8: 3PR4IL2J

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/3PR4IL2JP4Q6YVZNMES2VM6IZA \
  | 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: dbe3c42f497f21ec572d6125aab3c8c81faae4fa81dcd96e2c05b13113f516e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8fc9fc38789ab9ef99966253e469dedc3b1326b16b0a66a8ca6917dbead1326",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2010-03-19T04:55:37Z",
    "title_canon_sha256": "a76ec4d84ab5d44768d5e2a71a4890a2c8767dfb0c6db97a4aebe4d43864f119"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3714",
    "kind": "arxiv",
    "version": 2
  }
}