Pith Number

pith:VLV2M3ML

pith:2016:VLV2M3MLW5KPSDDQ65QX47JYVZ

not attested not anchored not stored refs pending

Faces of highest weight modules and the universal Weyl polyhedron

Apoorva Khare, Gurbir Dhillon

arxiv:1611.00114 v3 · 2016-11-01 · math.RT · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VLV2M3MLW5KPSDDQ65QX47JYVZ}

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	2026-05-18T00:29:31.264258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaeba66d8bb754f90c70f7617e7d38ae5cf79e31cec75acd06626b6a8172b4a0

Aliases

arxiv: 1611.00114 · arxiv_version: 1611.00114v3 · doi: 10.48550/arxiv.1611.00114 · pith_short_12: VLV2M3MLW5KP · pith_short_16: VLV2M3MLW5KPSDDQ · pith_short_8: VLV2M3ML

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/VLV2M3MLW5KPSDDQ65QX47JYVZ \
  | 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: aaeba66d8bb754f90c70f7617e7d38ae5cf79e31cec75acd06626b6a8172b4a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebcee0aa8d0cfb956059ada4a8b349b77756d95054ec0760121712ee16b9c74b",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-11-01T03:03:39Z",
    "title_canon_sha256": "b6d7cbf22dc6db55ff1cedff4a9a0469f8da7430e0025a0eca74fb74f851b657"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00114",
    "kind": "arxiv",
    "version": 3
  }
}