Pith Number

pith:2T6JBL4X

pith:2010:2T6JBL4XSHV5KTFFPIZRASB5MO

not attested not anchored not stored refs pending

An arithmetic intersection formula on Hilbert modular surfaces

Tonghai Yang

arxiv:1008.1853 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{2T6JBL4XSHV5KTFFPIZRASB5MO}

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	2026-05-18T04:42:22.841612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4fc90af9791ebd54ca57a3310483d639ba66de959c039b6541c331c58c4ebcf

Aliases

arxiv: 1008.1853 · arxiv_version: 1008.1853v1 · doi: 10.48550/arxiv.1008.1853 · pith_short_12: 2T6JBL4XSHV5 · pith_short_16: 2T6JBL4XSHV5KTFF · pith_short_8: 2T6JBL4X

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/2T6JBL4XSHV5KTFFPIZRASB5MO \
  | 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: d4fc90af9791ebd54ca57a3310483d639ba66de959c039b6541c331c58c4ebcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07efba93e0017057622343c7df2aedc420a7bf2c1cc11a110dc6685b642c33a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-11T08:04:21Z",
    "title_canon_sha256": "425f2d3572167b016b413ae2fb81e950bd2329aa68ce725ff46ed37b4cc56804"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1853",
    "kind": "arxiv",
    "version": 1
  }
}