Pith Number

pith:PMPT66UP

pith:2013:PMPT66UP2S45U4ORAMJIJCSHSX

not attested not anchored not stored refs pending

Some Infinite Dimensional Representations of Reductive Groups with Frobenius Maps

Nanhua XI

arxiv:1312.1159 v3 · 2013-12-04 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMPT66UP2S45U4ORAMJIJCSHSX}

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	2026-05-18T02:52:41.729398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b1f3f7a8fd4b9da71d10312848a4795e84d8ced6e573c0b1a531ae5be0906a5

Aliases

arxiv: 1312.1159 · arxiv_version: 1312.1159v3 · doi: 10.48550/arxiv.1312.1159 · pith_short_12: PMPT66UP2S45 · pith_short_16: PMPT66UP2S45U4OR · pith_short_8: PMPT66UP

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/PMPT66UP2S45U4ORAMJIJCSHSX \
  | 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: 7b1f3f7a8fd4b9da71d10312848a4795e84d8ced6e573c0b1a531ae5be0906a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f35260d8ab538adb8ef7a16bde2509c962538f12652bef77eb20dbdd1cb73ea8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-12-04T13:44:45Z",
    "title_canon_sha256": "40c59c2fe00bcec6048880e4ed994b4f6eff0ff93c291c85d10c755356bb9962"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1159",
    "kind": "arxiv",
    "version": 3
  }
}