Pith Number

pith:2NKNGL74

pith:2007:2NKNGL74LHMZ3IQOOVGTUCCQAQ

not attested not anchored not stored refs pending

Unipotent flows on products of $SL(2,K)/\Gamma$'s

Nimish A. Shah

arxiv:0708.4151 v1 · 2007-08-30 · math.RT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2NKNGL74LHMZ3IQOOVGTUCCQAQ}

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	2026-05-17T23:53:58.386605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d354d32ffc59d99da20e754d3a0850041d7ed52de53486490939318babf1b07d

Aliases

arxiv: 0708.4151 · arxiv_version: 0708.4151v1 · doi: 10.48550/arxiv.0708.4151 · pith_short_12: 2NKNGL74LHMZ · pith_short_16: 2NKNGL74LHMZ3IQO · pith_short_8: 2NKNGL74

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/2NKNGL74LHMZ3IQOOVGTUCCQAQ \
  | 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: d354d32ffc59d99da20e754d3a0850041d7ed52de53486490939318babf1b07d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a315fb577e9b6a795a7f524cef2338aa397f13c6bff8ee8af7655fff4f4f57f7",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2007-08-30T13:24:25Z",
    "title_canon_sha256": "50d55759307c570cfbf63deaf56bcda9ab160c04e56d9e990d800d23261c5b8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.4151",
    "kind": "arxiv",
    "version": 1
  }
}