Pith Number

pith:7CZGOPBN

pith:2015:7CZGOPBN3OAQDANVGZ5QSB6ZHQ

not attested not anchored not stored refs pending

Hecke algebras for $\mathrm{GL}_n$ over local fields

Valentijn Karemaker

arxiv:1510.06606 v1 · 2015-10-22 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CZGOPBN3OAQDANVGZ5QSB6ZHQ}

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	2026-05-18T01:29:30.490403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8b2673c2ddb810181b5367b0907d93c29825514d9929e200c5f7d998cae80ef

Aliases

arxiv: 1510.06606 · arxiv_version: 1510.06606v1 · doi: 10.48550/arxiv.1510.06606 · pith_short_12: 7CZGOPBN3OAQ · pith_short_16: 7CZGOPBN3OAQDANV · pith_short_8: 7CZGOPBN

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/7CZGOPBN3OAQDANVGZ5QSB6ZHQ \
  | 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: f8b2673c2ddb810181b5367b0907d93c29825514d9929e200c5f7d998cae80ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c272dcbbbd0281e8ef48bb001bde7ee58cf5962271d7bf45ac92ada00707bca",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-22T12:46:24Z",
    "title_canon_sha256": "58f88604ff10cc72eb36e36bc3d9cc8047003ef287e2b5cd7c0759d58b72e8f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06606",
    "kind": "arxiv",
    "version": 1
  }
}