Pith Number

pith:BDKKT5I3

pith:2015:BDKKT5I3UMCGMD3XREQSX7E5KX

not attested not anchored not stored refs pending

A program for branching problems in the representation theory of real reductive groups

Toshiyuki Kobayashi

arxiv:1509.08861 v1 · 2015-09-29 · math.RT · math-ph · math.GR · math.HO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BDKKT5I3UMCGMD3XREQSX7E5KX}

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	2026-05-18T01:07:21.040971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08d4a9f51ba304660f7789212bfc9d55f1e1f048d497e2241c365e60fa3e1448

Aliases

arxiv: 1509.08861 · arxiv_version: 1509.08861v1 · doi: 10.48550/arxiv.1509.08861 · pith_short_12: BDKKT5I3UMCG · pith_short_16: BDKKT5I3UMCGMD3X · pith_short_8: BDKKT5I3

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/BDKKT5I3UMCGMD3XREQSX7E5KX \
  | 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: 08d4a9f51ba304660f7789212bfc9d55f1e1f048d497e2241c365e60fa3e1448

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea5e216caa3b685e195c290c637f027c28d8ff804d9765f5b3f17dd019512260",
    "cross_cats_sorted": [
      "math-ph",
      "math.GR",
      "math.HO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-09-29T17:23:17Z",
    "title_canon_sha256": "48e77a654cfba16c9051f0bd1e8a61f1d41ddb23beafca7719f2f628da3b5ac8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08861",
    "kind": "arxiv",
    "version": 1
  }
}