Pith Number

pith:UNBTZV34

pith:2012:UNBTZV34KZIZM3QAPGYAMVAYAE

not attested not anchored not stored refs pending

The Continuous Spectrum in Discrete Series Branching Laws

Benjamin Harris, Gestur Olafsson, Hongyu He

arxiv:1209.4125 v3 · 2012-09-19 · 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{UNBTZV34KZIZM3QAPGYAMVAYAE}

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	2026-05-18T03:16:38.600471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3433cd77c5651966e0079b0065418010b51c22cdf174fb4abacec736529aa1a

Aliases

arxiv: 1209.4125 · arxiv_version: 1209.4125v3 · doi: 10.48550/arxiv.1209.4125 · pith_short_12: UNBTZV34KZIZ · pith_short_16: UNBTZV34KZIZM3QA · pith_short_8: UNBTZV34

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/UNBTZV34KZIZM3QAPGYAMVAYAE \
  | 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: a3433cd77c5651966e0079b0065418010b51c22cdf174fb4abacec736529aa1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22aa3add6b7a77147493918f9899338a8bea6f3a840f04b0057de220e37f2806",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-19T00:07:44Z",
    "title_canon_sha256": "740a1095f31d8d9817a948fcd0cffde72922ce36190be747d4362e6dc328a62f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4125",
    "kind": "arxiv",
    "version": 3
  }
}