Pith Number

pith:LVQEQG57

pith:2005:LVQEQG57CGDIRAYZEE6SQYTW27

not attested not anchored not stored refs pending

Groups and Lie algebras corresponding to the Yang-Baxter equations

Benjamin Enriquez, Eric Rains, Laurent Bartholdi, Pavel Etingof

arxiv:math/0509661 v6 · 2005-09-28 · math.RA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LVQEQG57CGDIRAYZEE6SQYTW27}

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	2026-05-18T04:08:33.790830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d60481bbf1186888319213d286276d7dd1bbf8b9ae03963b61eb33e59fc2af7

Aliases

arxiv: math/0509661 · arxiv_version: math/0509661v6 · doi: 10.48550/arxiv.math/0509661 · pith_short_12: LVQEQG57CGDI · pith_short_16: LVQEQG57CGDIRAYZ · pith_short_8: LVQEQG57

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/LVQEQG57CGDIRAYZEE6SQYTW27 \
  | 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: 5d60481bbf1186888319213d286276d7dd1bbf8b9ae03963b61eb33e59fc2af7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e8265203374afdf3b2f25ad406d8e5a5ca9ec9ebeb274351e38b0099bb574a1",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2005-09-28T16:08:41Z",
    "title_canon_sha256": "4bc0fd3e85786ee7f36b06d728d9b82919cac75e094433ee90a365b566c10d26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509661",
    "kind": "arxiv",
    "version": 6
  }
}