Pith Number

pith:YFYILAYZ

pith:2011:YFYILAYZIURJHQTOSJRR55IKVI

not attested not anchored not stored refs pending

Geometry of second adjointness for p-adic groups

David Kazhdan, Roman Bezrukavnikov

arxiv:1112.6340 v4 · 2011-12-29 · 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{YFYILAYZIURJHQTOSJRR55IKVI}

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	2026-05-18T01:31:12.135233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c170858319452293c26e92631ef50aaa3a6cf959f6bbd703935bb051a56b5990

Aliases

arxiv: 1112.6340 · arxiv_version: 1112.6340v4 · doi: 10.48550/arxiv.1112.6340 · pith_short_12: YFYILAYZIURJ · pith_short_16: YFYILAYZIURJHQTO · pith_short_8: YFYILAYZ

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/YFYILAYZIURJHQTOSJRR55IKVI \
  | 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: c170858319452293c26e92631ef50aaa3a6cf959f6bbd703935bb051a56b5990

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae70a32e30f7593a06f4fda4dbaacd563c657cec064daf270c2e413258243777",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-12-29T16:08:21Z",
    "title_canon_sha256": "2c00c28f4394c4d9388bdba2d3c1b483a6d56e3b08f8fa165c7706fced075a9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6340",
    "kind": "arxiv",
    "version": 4
  }
}