Pith Number

pith:Y73ZQ7QW

pith:2006:Y73ZQ7QWDXAWWJ7EE5RYKUIG3D

not attested not anchored not stored refs pending

Integral points on symmetric varieties and Satake compatifications

Alexander Gorodnik, Hee Oh, Nimish Shah

arxiv:math/0610497 v2 · 2006-10-16 · math.NT · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y73ZQ7QWDXAWWJ7EE5RYKUIG3D}

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	2026-05-17T23:53:56.020653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7f7987e161dc16b27e42763855106d8d898992f65f6a36c00d5e1ad9ce7e076

Aliases

arxiv: math/0610497 · arxiv_version: math/0610497v2 · doi: 10.48550/arxiv.math/0610497 · pith_short_12: Y73ZQ7QWDXAW · pith_short_16: Y73ZQ7QWDXAWWJ7E · pith_short_8: Y73ZQ7QW

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/Y73ZQ7QWDXAWWJ7EE5RYKUIG3D \
  | 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: c7f7987e161dc16b27e42763855106d8d898992f65f6a36c00d5e1ad9ce7e076

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c071cf9cb3db0a4101c97c63f5efc79ee7340543a90fbaca77ebaa27c6aa223e",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-10-16T19:36:19Z",
    "title_canon_sha256": "5ed73063ad7e536a67f8288d9d1b5fd8e766ddc38b4da63d4b567df84d5f825a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610497",
    "kind": "arxiv",
    "version": 2
  }
}