Pith Number

pith:VZWRTHYU

pith:2011:VZWRTHYUFOS3JHI6C7KYDHNMUL

not attested not anchored not stored refs pending

On the degenerate principal series of complex symplectic groups

Pierre Clare

arxiv:1111.3915 v3 · 2011-11-16 · 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{VZWRTHYUFOS3JHI6C7KYDHNMUL}

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	2026-05-18T04:02:03.754941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae6d199f142ba5b49d1e17d5819daca2d21f12041b88a0315b4816e69ac4d2bb

Aliases

arxiv: 1111.3915 · arxiv_version: 1111.3915v3 · doi: 10.48550/arxiv.1111.3915 · pith_short_12: VZWRTHYUFOS3 · pith_short_16: VZWRTHYUFOS3JHI6 · pith_short_8: VZWRTHYU

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/VZWRTHYUFOS3JHI6C7KYDHNMUL \
  | 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: ae6d199f142ba5b49d1e17d5819daca2d21f12041b88a0315b4816e69ac4d2bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a50e129cef2b6c1bf4474f8465cee0720d11f89fdde502469584b845885b49c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-11-16T19:28:34Z",
    "title_canon_sha256": "751810211f72e42089082998e6c7d1bf173ec2234c17b6cec5569d093326b12a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3915",
    "kind": "arxiv",
    "version": 3
  }
}