Pith Number

pith:ODNSMJCX

pith:2015:ODNSMJCXY4N6PC7JXDEKM7VXPY

not attested not anchored not stored refs pending

Cohomology of Iwasawa subgroup of the group $U(p,p)$ in nonunitary representations

Anatoly Vershik, Mark Graev

arxiv:1512.03741 v1 · 2015-12-11 · 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{ODNSMJCXY4N6PC7JXDEKM7VXPY}

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	2026-05-18T01:24:31.469301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70db262457c71be78be9b8c8a67eb77e34336473830dfdf45ef487ac54dd8183

Aliases

arxiv: 1512.03741 · arxiv_version: 1512.03741v1 · doi: 10.48550/arxiv.1512.03741 · pith_short_12: ODNSMJCXY4N6 · pith_short_16: ODNSMJCXY4N6PC7J · pith_short_8: ODNSMJCX

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/ODNSMJCXY4N6PC7JXDEKM7VXPY \
  | 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: 70db262457c71be78be9b8c8a67eb77e34336473830dfdf45ef487ac54dd8183

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a07e3482aa874e59ebecdaa88a42227d069ab936d53515aa85694fc650f986c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-12-11T17:48:27Z",
    "title_canon_sha256": "b7493a449fa867aabdf5736587c551ca35f7cafeee21a4030300a1b6352e66ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03741",
    "kind": "arxiv",
    "version": 1
  }
}