Pith Number

pith:TKKXQPUV

pith:2015:TKKXQPUV3PGZZS5MTO5QZ4L2HE

not attested not anchored not stored refs pending

Local rigidity of complex hyperbolic lattices in semisimple Lie groups

Genkai Zhang, Inkang Kim

arxiv:1508.05459 v3 · 2015-08-22 · math.RT · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKKXQPUV3PGZZS5MTO5QZ4L2HE}

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	2026-05-18T00:51:30.598800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a95783e95dbcd9ccbac9bbb0cf17a39251c8a8ea655b7e86fe3d4bc5b72b012

Aliases

arxiv: 1508.05459 · arxiv_version: 1508.05459v3 · doi: 10.48550/arxiv.1508.05459 · pith_short_12: TKKXQPUV3PGZ · pith_short_16: TKKXQPUV3PGZZS5M · pith_short_8: TKKXQPUV

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/TKKXQPUV3PGZZS5MTO5QZ4L2HE \
  | 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: 9a95783e95dbcd9ccbac9bbb0cf17a39251c8a8ea655b7e86fe3d4bc5b72b012

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddce2dfc28ef1f7f3b495d1a3366669c10b055252e25f3d26c72e6c1d59c2c30",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-08-22T02:29:17Z",
    "title_canon_sha256": "445c3a4017426e6398ce05ab9787b74574e7f291df84d0139ed5597d124245f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05459",
    "kind": "arxiv",
    "version": 3
  }
}