Pith Number

pith:CNFKNRWS

pith:2010:CNFKNRWSVLLIFLQTEUOD6ILKVM

not attested not anchored not stored refs pending

On the cohomology groups of local systems over Hilbert modular varieties via Higgs bundles

Kang Zuo, Mao Sheng, Stefan M\"uller-Stach, Xuanming Ye

arxiv:1009.2011 v3 · 2010-09-10 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CNFKNRWSVLLIFLQTEUOD6ILKVM}

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	2026-05-18T02:42:54.498616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

134aa6c6d2aad682ae13251c3f216aab34a44478eefd00f596b357fea53f8f30

Aliases

arxiv: 1009.2011 · arxiv_version: 1009.2011v3 · doi: 10.48550/arxiv.1009.2011 · pith_short_12: CNFKNRWSVLLI · pith_short_16: CNFKNRWSVLLIFLQT · pith_short_8: CNFKNRWS

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/CNFKNRWSVLLIFLQTEUOD6ILKVM \
  | 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: 134aa6c6d2aad682ae13251c3f216aab34a44478eefd00f596b357fea53f8f30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "075e0ce1dfbd28a5d2fb3cbb598d690ea6664fc1b6c076a1f3f8f792d934a299",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-10T13:34:01Z",
    "title_canon_sha256": "a759a47ff1e6c2b80f603afae4a0b1e10178b1ed62d0fa92718effa57f9782b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2011",
    "kind": "arxiv",
    "version": 3
  }
}