Pith Number

pith:62KU4LKR

pith:2010:62KU4LKRKVOJQNJLBY5V7GBIBU

not attested not anchored not stored refs pending

Lifting, restricting and sifting integral points on affine homogeneous varieties

Alexander Gorodnik, Amos Nevo

arxiv:1009.5217 v1 · 2010-09-27 · 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{62KU4LKRKVOJQNJLBY5V7GBIBU}

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	2026-05-17T23:53:19.641303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6954e2d51555c98352b0e3b5f98280d052c050f6f760d4470605bd014e0f5b2

Aliases

arxiv: 1009.5217 · arxiv_version: 1009.5217v1 · doi: 10.48550/arxiv.1009.5217 · pith_short_12: 62KU4LKRKVOJ · pith_short_16: 62KU4LKRKVOJQNJL · pith_short_8: 62KU4LKR

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/62KU4LKRKVOJQNJLBY5V7GBIBU \
  | 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: f6954e2d51555c98352b0e3b5f98280d052c050f6f760d4470605bd014e0f5b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0374ad7a1cbf9b0620adc2c1b8ce56ab79eff762235eb8e8ff98bab1fe175e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-09-27T10:53:28Z",
    "title_canon_sha256": "7c9253ba11415d1c588303f52142972eac2d94c11b00c21ab540d4fa39e0774f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5217",
    "kind": "arxiv",
    "version": 1
  }
}