Pith Number

pith:IWCB3PVG

pith:2004:IWCB3PVGDV3EV6YZKY3J472VLR

not attested not anchored not stored refs pending

Degenerate principal series of quantum Harish-Chandra modules

Olga Bershtein

arxiv:math/0406343 v1 · 2004-06-17 · math.QA · 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{IWCB3PVGDV3EV6YZKY3J472VLR}

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	2026-05-18T01:38:27.287904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45841dbea61d764afb1956369e7f555c43762a359eddadd05e08b9e9c7f0430c

Aliases

arxiv: math/0406343 · arxiv_version: math/0406343v1 · doi: 10.48550/arxiv.math/0406343 · pith_short_12: IWCB3PVGDV3E · pith_short_16: IWCB3PVGDV3EV6YZ · pith_short_8: IWCB3PVG

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/IWCB3PVGDV3EV6YZKY3J472VLR \
  | 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: 45841dbea61d764afb1956369e7f555c43762a359eddadd05e08b9e9c7f0430c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8ddf3e11735d4f6dc66f4f85fed30739f2343c5b931bf7c2feb70ce106a8837",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2004-06-17T14:16:47Z",
    "title_canon_sha256": "47448d3c45c01c55abe73866c5e90c2db04ea88a2212733587a5b4b70a273bfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406343",
    "kind": "arxiv",
    "version": 1
  }
}