Pith Number

pith:NSIWKSNA

pith:2012:NSIWKSNA2D3GCKRAY4W5ZDERWC

not attested not anchored not stored refs pending

Duflo's conjecture for the branching to the Iwasawa $AN$-subgroup

Gang Liu

arxiv:1207.5071 v1 · 2012-07-20 · 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{NSIWKSNA2D3GCKRAY4W5ZDERWC}

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	2026-05-18T03:50:24.682401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c916549a0d0f6612a20c72ddc8c91b0b22a207c1e2f2b303365a045872d602d

Aliases

arxiv: 1207.5071 · arxiv_version: 1207.5071v1 · doi: 10.48550/arxiv.1207.5071 · pith_short_12: NSIWKSNA2D3G · pith_short_16: NSIWKSNA2D3GCKRA · pith_short_8: NSIWKSNA

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/NSIWKSNA2D3GCKRAY4W5ZDERWC \
  | 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: 6c916549a0d0f6612a20c72ddc8c91b0b22a207c1e2f2b303365a045872d602d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa365a3a67706efaddba197b4f10de7be90e36d7a8082dca40827a452d7c454f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-07-20T22:23:44Z",
    "title_canon_sha256": "7f0f42604dc32fa5f9e87f3ac1aa1243bd1d8b6f0aa221fdd37b362f315710c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5071",
    "kind": "arxiv",
    "version": 1
  }
}