Pith Number

pith:56ULQCU6

pith:2010:56ULQCU6UGREVJN7PWURUMYHNC

not attested not anchored not stored refs pending

Arithmetic Intersection on a Hilbert Modular Surface and the Faltings Height

Tonghai Yang

arxiv:1008.1854 v1 · 2010-08-11 · 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{56ULQCU6UGREVJN7PWURUMYHNC}

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	2026-05-18T04:42:22.834889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efa8b80a9ea1a24aa5bf7da91a330768b446605e6e4d483b2dd6808e1a0593fb

Aliases

arxiv: 1008.1854 · arxiv_version: 1008.1854v1 · doi: 10.48550/arxiv.1008.1854 · pith_short_12: 56ULQCU6UGRE · pith_short_16: 56ULQCU6UGREVJN7 · pith_short_8: 56ULQCU6

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/56ULQCU6UGREVJN7PWURUMYHNC \
  | 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: efa8b80a9ea1a24aa5bf7da91a330768b446605e6e4d483b2dd6808e1a0593fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ff4b6538bf5c406f3331ac2e5859eb258539cbf420bb4467afced5ef06c4982",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-11T08:12:54Z",
    "title_canon_sha256": "7f60d01ac497b15d8df17b367265104c7f1a678203d3d3b9c1de4ad550037c4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1854",
    "kind": "arxiv",
    "version": 1
  }
}