Pith Number

pith:M6MXLW56

pith:2016:M6MXLW564Y22TCSXH37VVQE42Z

not attested not anchored not stored refs pending

Gradings on modules over Lie algebras of E types

Alberto Elduque, Cristina Draper, Mikhail Kochetov

arxiv:1609.02510 v2 · 2016-09-08 · math.RT · 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{M6MXLW564Y22TCSXH37VVQE42Z}

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	2026-05-18T00:29:46.812364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

679975dbbee635a98a573eff5ac09cd64b6491d7a5f0a05ef3c47337fec7fcbd

Aliases

arxiv: 1609.02510 · arxiv_version: 1609.02510v2 · doi: 10.48550/arxiv.1609.02510 · pith_short_12: M6MXLW564Y22 · pith_short_16: M6MXLW564Y22TCSX · pith_short_8: M6MXLW56

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/M6MXLW564Y22TCSXH37VVQE42Z \
  | 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: 679975dbbee635a98a573eff5ac09cd64b6491d7a5f0a05ef3c47337fec7fcbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d81ee5523985229bfadb40083a89a2180baf95340ffc5874801e0509b1100742",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-09-08T17:51:49Z",
    "title_canon_sha256": "d8d30c940deeabdbc18fd3aec3887b551dcfc164e152d9c6f8d4b55e785a05ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02510",
    "kind": "arxiv",
    "version": 2
  }
}