Pith Number

pith:PZHVCAH2

pith:2013:PZHVCAH2NWL3TPWBMLRU5IOPDC

not attested not anchored not stored refs pending

Weyl groups of the fine gradings on $\e_6$

Cristina Draper, Diego Aranda, Valerio Guido

arxiv:1308.0631 v1 · 2013-08-02 · 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{PZHVCAH2NWL3TPWBMLRU5IOPDC}

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	2026-05-18T03:16:48.660764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e4f5100fa6d97b9bec162e34ea1cf18b2a24766adb154f1262ff32cd072c5d1

Aliases

arxiv: 1308.0631 · arxiv_version: 1308.0631v1 · doi: 10.48550/arxiv.1308.0631 · pith_short_12: PZHVCAH2NWL3 · pith_short_16: PZHVCAH2NWL3TPWB · pith_short_8: PZHVCAH2

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/PZHVCAH2NWL3TPWBMLRU5IOPDC \
  | 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: 7e4f5100fa6d97b9bec162e34ea1cf18b2a24766adb154f1262ff32cd072c5d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f85e9fb7f7c1fc745ff3e536f029725fc9dfaeab4721505668161d916f1212b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-08-02T22:07:15Z",
    "title_canon_sha256": "12174a05d0130b2493acceec6ce4446fed4fdf58e467f40e9787ac3476ed2ef8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0631",
    "kind": "arxiv",
    "version": 1
  }
}