Pith Number

pith:HVHJE5I6

pith:2015:HVHJE5I6N3BKA3A7W2EQYH432Z

not attested not anchored not stored refs pending

Invariant trilinear forms for spherical degenerate principal series of complex symplectic groups

Pierre Clare

arxiv:1509.00505 v2 · 2015-09-01 · math.RT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HVHJE5I6N3BKA3A7W2EQYH432Z}

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	2026-05-18T01:26:33.763143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d4e92751e6ec2a06c1fb6890c1f9bd6695434c83bdf472bec1d6df23b130354

Aliases

arxiv: 1509.00505 · arxiv_version: 1509.00505v2 · doi: 10.48550/arxiv.1509.00505 · pith_short_12: HVHJE5I6N3BK · pith_short_16: HVHJE5I6N3BKA3A7 · pith_short_8: HVHJE5I6

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/HVHJE5I6N3BKA3A7W2EQYH432Z \
  | 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: 3d4e92751e6ec2a06c1fb6890c1f9bd6695434c83bdf472bec1d6df23b130354

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e331774ac0de99df62d11f0db9ce4e8184419950d84dc53a9b84ae29b72a7a60",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-09-01T21:08:55Z",
    "title_canon_sha256": "599cdf4045745444b84d75e8f0acf1287ec1bd1c47281ccaf9d49be8a304252c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00505",
    "kind": "arxiv",
    "version": 2
  }
}