Pith Number

pith:QRYR34WK

pith:2013:QRYR34WKBFI2CH4NZU3LZ4N3E4

not attested not anchored not stored refs pending

Heights of Kudla-Rapoport divisors and derivatives of L-functions

Benjamin Howard, Jan Hendrik Bruinier, Tonghai Yang

arxiv:1303.0549 v3 · 2013-03-03 · 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{QRYR34WKBFI2CH4NZU3LZ4N3E4}

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	2026-05-18T02:39:48.810459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84711df2ca0951a11f8dcd36bcf1bb273605da85e16a78a7aed139bc0ef3a0de

Aliases

arxiv: 1303.0549 · arxiv_version: 1303.0549v3 · doi: 10.48550/arxiv.1303.0549 · pith_short_12: QRYR34WKBFI2 · pith_short_16: QRYR34WKBFI2CH4N · pith_short_8: QRYR34WK

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/QRYR34WKBFI2CH4NZU3LZ4N3E4 \
  | 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: 84711df2ca0951a11f8dcd36bcf1bb273605da85e16a78a7aed139bc0ef3a0de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31bd42aa6a193dc09f8d3cf524562a3d27398dd23bc4095843883b9a2f48f761",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-03T19:05:03Z",
    "title_canon_sha256": "17b0b0b2f3f73703f840f5b5fba4188535c663a7985663d9f5f7091f36d7e243"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0549",
    "kind": "arxiv",
    "version": 3
  }
}