Pith Number

pith:UXI4Q2NF

pith:2010:UXI4Q2NFCKW4G6F6NHHBAWWUBM

not attested not anchored not stored refs pending

The configuration basis of a Lie algebra and its dual

Ben Walter

arxiv:1010.4765 v1 · 2010-10-22 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UXI4Q2NFCKW4G6F6NHHBAWWUBM}

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	2026-05-18T04:38:57.429099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5d1c869a512adc378be69ce105ad40b25f63456cd8c7200219b617304ad080e

Aliases

arxiv: 1010.4765 · arxiv_version: 1010.4765v1 · doi: 10.48550/arxiv.1010.4765 · pith_short_12: UXI4Q2NFCKW4 · pith_short_16: UXI4Q2NFCKW4G6F6 · pith_short_8: UXI4Q2NF

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/UXI4Q2NFCKW4G6F6NHHBAWWUBM \
  | 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: a5d1c869a512adc378be69ce105ad40b25f63456cd8c7200219b617304ad080e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "088d8fcba61f89b660cdc6d1d25eb83ede9e4af77d31fcc02645a652187bc1ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-10-22T17:31:37Z",
    "title_canon_sha256": "2de9f28a04ad691779ac2729d32c3752c7d9836930374717c3e8b5e34c0a623b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4765",
    "kind": "arxiv",
    "version": 1
  }
}