Pith Number

pith:NC5TSILV

pith:2011:NC5TSILVJPNBZ2ZXBKYEEXRXNJ

not attested not anchored not stored refs pending

Counting orbits of integral points in families of affine homogeneous varieties and diagonal flows

Alexander Gorodnik, Fr\'ed\'eric Paulin (LM-Orsay)

arxiv:1110.5773 v2 · 2011-10-26 · math.DS · math.GR · 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{NC5TSILVJPNBZ2ZXBKYEEXRXNJ}

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	2026-05-18T03:20:35.793993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68bb3921754bda1ceb370ab0425e376a4186b8e25f52afe43efbb5f4cba86299

Aliases

arxiv: 1110.5773 · arxiv_version: 1110.5773v2 · doi: 10.48550/arxiv.1110.5773 · pith_short_12: NC5TSILVJPNB · pith_short_16: NC5TSILVJPNBZ2ZX · pith_short_8: NC5TSILV

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/NC5TSILVJPNBZ2ZXBKYEEXRXNJ \
  | 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: 68bb3921754bda1ceb370ab0425e376a4186b8e25f52afe43efbb5f4cba86299

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "138da0b94612b50478c5d9f6cfc2bc2653ac9523c9443bfecd6c35c587ba9360",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-10-26T12:13:44Z",
    "title_canon_sha256": "0eee49460358bf7842933334e186e2f54bb155ec88ba87ab8966a5aa8930a3a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5773",
    "kind": "arxiv",
    "version": 2
  }
}