Pith Number

pith:DILVXH5F

pith:2001:DILVXH5FSRSUE2DO55BTF7UGE6

not attested not anchored not stored refs pending

Extensions of Peripheric Extended Twists and Inhomogeneous Lie Algebras

N. Aizawa

arxiv:math/0108021 v1 · 2001-08-03 · math.QA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DILVXH5FSRSUE2DO55BTF7UGE6}

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	2026-07-04T16:28:16.400295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a175b9fa5946542686eef4332fe8627a6c24a82e175599825454fc65f2c9421

Aliases

arxiv: math/0108021 · arxiv_version: math/0108021v1 · doi: 10.48550/arxiv.math/0108021 · pith_short_12: DILVXH5FSRSU · pith_short_16: DILVXH5FSRSUE2DO · pith_short_8: DILVXH5F

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/DILVXH5FSRSUE2DO55BTF7UGE6 \
  | 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: 1a175b9fa5946542686eef4332fe8627a6c24a82e175599825454fc65f2c9421

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0eb92d4e6d90710b4221a1f0327ff090d5349ea67963c7c014f675e8a235893d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2001-08-03T04:39:50Z",
    "title_canon_sha256": "cc58867c25f8f179d334b25c6efdf0f0890e9b25a1aad8ad5e7eb543d9211f03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0108021",
    "kind": "arxiv",
    "version": 1
  }
}