Pith Number

pith:BYDNNA7B

pith:2015:BYDNNA7B4ONSAOAMWBEJZXMZHN

not attested not anchored not stored refs pending

Stability conditions for Gelfand-Kirillov subquotients of category O

Vinoth Nandakumar

arxiv:1511.08487 v3 · 2015-11-26 · 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{BYDNNA7B4ONSAOAMWBEJZXMZHN}

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	2026-05-18T01:23:48.127093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e06d683e1e39b20380cb0489cdd993b4a3f9a50abfdf0303c0dd83ddd7b8f96

Aliases

arxiv: 1511.08487 · arxiv_version: 1511.08487v3 · doi: 10.48550/arxiv.1511.08487 · pith_short_12: BYDNNA7B4ONS · pith_short_16: BYDNNA7B4ONSAOAM · pith_short_8: BYDNNA7B

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/BYDNNA7B4ONSAOAMWBEJZXMZHN \
  | 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: 0e06d683e1e39b20380cb0489cdd993b4a3f9a50abfdf0303c0dd83ddd7b8f96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfbcbe3d46010110d854d9f5041547684ea8280aa606bb5544de618713251ad4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-11-26T19:43:59Z",
    "title_canon_sha256": "ca9843cf765ddf640ddea8de27d5741c94b34ddf1cda57a209243a99a7a05dcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08487",
    "kind": "arxiv",
    "version": 3
  }
}