Pith Number

pith:RNQ7DGCS

pith:2005:RNQ7DGCS7RZDU3GXTD67WB3LT7

not attested not anchored not stored refs pending

Chow-Kunneth decomposition for universal families over Picard modular surfaces

Andrea Miller, Kang Zuo, Sigrid Wortmann, Stefan M\"uller-Stach, Yi-Hu Yang

arxiv:math/0505017 v4 · 2005-05-02 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RNQ7DGCS7RZDU3GXTD67WB3LT7}

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	2026-05-18T02:39:30.756848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b61f19852fc723a6cd798fdfb076b9fe6a6f2d6640924cb9f0225ebc70f14c4

Aliases

arxiv: math/0505017 · arxiv_version: math/0505017v4 · doi: 10.48550/arxiv.math/0505017 · pith_short_12: RNQ7DGCS7RZD · pith_short_16: RNQ7DGCS7RZDU3GX · pith_short_8: RNQ7DGCS

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/RNQ7DGCS7RZDU3GXTD67WB3LT7 \
  | 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: 8b61f19852fc723a6cd798fdfb076b9fe6a6f2d6640924cb9f0225ebc70f14c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e68ff14057bcb10ab74d1e475af90043c364f153bdb9bc1db8af57d5d4b7030",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-05-02T07:00:35Z",
    "title_canon_sha256": "b080f7953f9baa6d8923c6177e1a12b9e5fd35cff0c50ddda7b32a06604543f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505017",
    "kind": "arxiv",
    "version": 4
  }
}