Pith Number

pith:26VKRX43

pith:2013:26VKRX43COD54OPA4HINIMF5E6

not attested not anchored not stored refs pending

On the cohomology of linear groups over imaginary quadratic fields

Achill Schuermann, Dan Yasaki, Herbert Gangl, Jonathan Hanke, Mathieu Dutour Sikiric, Paul E. Gunnells

arxiv:1307.1165 v2 · 2013-07-03 · math.NT · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26VKRX43COD54OPA4HINIMF5E6}

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	2026-05-18T03:06:21.948842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7aaa8df9b1387de39e0e1d0d430bd27b99a92ffdcbb8e95b1609be07c4666d6

Aliases

arxiv: 1307.1165 · arxiv_version: 1307.1165v2 · doi: 10.48550/arxiv.1307.1165 · pith_short_12: 26VKRX43COD5 · pith_short_16: 26VKRX43COD54OPA · pith_short_8: 26VKRX43

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/26VKRX43COD54OPA4HINIMF5E6 \
  | 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: d7aaa8df9b1387de39e0e1d0d430bd27b99a92ffdcbb8e95b1609be07c4666d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e3b54da9abae9955c6ed68e9d735703b89c934bc77a165667a081536d8562f3",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-03T21:27:46Z",
    "title_canon_sha256": "a99d168b9fd486da8bc1e2d1a255f7a710df219c5b7b54e1e42af15d4a2fc6ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1165",
    "kind": "arxiv",
    "version": 2
  }
}