Pith Number

pith:IMW5Y4PQ

pith:2013:IMW5Y4PQ6GKL2HRNWKTFWIUN6L

not attested not anchored not stored refs pending

Complex multiplication cycles and Kudla-Rapoport divisors II

Benjamin Howard

arxiv:1303.0547 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{IMW5Y4PQ6GKL2HRNWKTFWIUN6L}

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	2026-05-18T02:46:31.432359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

432ddc71f0f194bd1e2db2a65b228df2d381641a806d468834a5f78cff34b0a8

Aliases

arxiv: 1303.0547 · arxiv_version: 1303.0547v3 · doi: 10.48550/arxiv.1303.0547 · pith_short_12: IMW5Y4PQ6GKL · pith_short_16: IMW5Y4PQ6GKL2HRN · pith_short_8: IMW5Y4PQ

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/IMW5Y4PQ6GKL2HRNWKTFWIUN6L \
  | 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: 432ddc71f0f194bd1e2db2a65b228df2d381641a806d468834a5f78cff34b0a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb93a5eab707d4d72b11398076fa3eb952e78260b7f6614ea982510d60a4c8fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-03T18:58:26Z",
    "title_canon_sha256": "43029915d8313d9d911a254ed6fd47af888794d4a66b6e16a4041b3995965bab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0547",
    "kind": "arxiv",
    "version": 3
  }
}