Pith Number

pith:ACBSXNVZ

pith:2010:ACBSXNVZRS75ZOWGWL7K6PJJVH

not attested not anchored not stored refs pending

Faltings heights of big CM cycles and derivatives of L-functions

Jan Hendrik Bruinier, Stephen S. Kudla, Tonghai Yang

arxiv:1008.1669 v1 · 2010-08-10 · math.NT · 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{ACBSXNVZRS75ZOWGWL7K6PJJVH}

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	2026-05-18T04:42:23.517666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00832bb6b98cbfdcbac6b2feaf3d29a9e1bf8631438d6fee03078a026b3b9ee2

Aliases

arxiv: 1008.1669 · arxiv_version: 1008.1669v1 · doi: 10.48550/arxiv.1008.1669 · pith_short_12: ACBSXNVZRS75 · pith_short_16: ACBSXNVZRS75ZOWG · pith_short_8: ACBSXNVZ

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/ACBSXNVZRS75ZOWGWL7K6PJJVH \
  | 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: 00832bb6b98cbfdcbac6b2feaf3d29a9e1bf8631438d6fee03078a026b3b9ee2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d0341b283e90fe15ba817b486f32d38085909ff4df3b7070f939e15e25272cc",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-10T08:47:52Z",
    "title_canon_sha256": "429204a332d268e27a9f27f0c658e4c3aa5f219567ad21ff21f019ca83a906ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1669",
    "kind": "arxiv",
    "version": 1
  }
}