Pith Number

pith:NA5O2Z6B

pith:2012:NA5O2Z6BVR5RQQCDUGG7AFFDKR

not attested not anchored not stored refs pending

Hodge Bundles on Smooth Compactifications of Siegel Varieties and Applications

Shing-Tung Yau, Yi Zhang

arxiv:1201.3784 v4 · 2012-01-18 · math.AG · math.CV · 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{NA5O2Z6BVR5RQQCDUGG7AFFDKR}

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	2026-05-18T02:51:42.646023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

683aed67c1ac7b184043a18df014a3546a0698ef8b49ab28f009f6f8246c5925

Aliases

arxiv: 1201.3784 · arxiv_version: 1201.3784v4 · doi: 10.48550/arxiv.1201.3784 · pith_short_12: NA5O2Z6BVR5R · pith_short_16: NA5O2Z6BVR5RQQCD · pith_short_8: NA5O2Z6B

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/NA5O2Z6BVR5RQQCDUGG7AFFDKR \
  | 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: 683aed67c1ac7b184043a18df014a3546a0698ef8b49ab28f009f6f8246c5925

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ead4e97b696a278794fc6bf67464f75812b79e0541c36b82535fb8a5cf2cfb28",
    "cross_cats_sorted": [
      "math.CV",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-18T13:46:56Z",
    "title_canon_sha256": "2ec0787094a4af2678ffed5d198b7d135a544cef07333d61a5a2677365244391"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3784",
    "kind": "arxiv",
    "version": 4
  }
}