Pith Number

pith:RDT4UOJM

pith:2012:RDT4UOJMCKRBYGFIPNZ5FY4SXA

not attested not anchored not stored refs pending

Subconvexity and equidistribution of Heegner points in the level aspect

Matthew P. Young, Riad Masri, Sheng-chi Liu

arxiv:1206.3208 v1 · 2012-06-14 · 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{RDT4UOJMCKRBYGFIPNZ5FY4SXA}

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	2026-05-17T23:53:18.616112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88e7ca392c12a21c18a87b73d2e392b8094b8bd1e85349d8443fba58da93d460

Aliases

arxiv: 1206.3208 · arxiv_version: 1206.3208v1 · doi: 10.48550/arxiv.1206.3208 · pith_short_12: RDT4UOJMCKRB · pith_short_16: RDT4UOJMCKRBYGFI · pith_short_8: RDT4UOJM

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/RDT4UOJMCKRBYGFIPNZ5FY4SXA \
  | 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: 88e7ca392c12a21c18a87b73d2e392b8094b8bd1e85349d8443fba58da93d460

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "490c4bdddacf26b6b70f399824c4aaa9c8f927d54d843c30a54e3f2b6a256d07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-14T18:38:14Z",
    "title_canon_sha256": "1be3ec373abc2579387e89a603fe6da239b3910605da6f7853de4a929c4932ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3208",
    "kind": "arxiv",
    "version": 1
  }
}