Pith Number

pith:AF2PU3OP

pith:2019:AF2PU3OPZZBYHRGDRXQIQ25SDS

not attested not anchored not stored refs pending

Kudla--Rapoport cycles and derivatives of local densities

Chao Li, Wei Zhang

arxiv:1908.01701 v3 · 2019-08-05 · math.NT · math.AG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AF2PU3OPZZBYHRGDRXQIQ25SDS}

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.

Cited by

1 paper in Pith

Weil representation and Arithmetic Fundamental Lemma

Receipt and verification

First computed	2026-07-05T01:55:27.611591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0174fa6dcfce4383c4c38de0886bb21c83332dc3106dcd95bc2eb067b4f580fd

Aliases

arxiv: 1908.01701 · arxiv_version: 1908.01701v3 · doi: 10.48550/arxiv.1908.01701 · pith_short_12: AF2PU3OPZZBY · pith_short_16: AF2PU3OPZZBYHRGD · pith_short_8: AF2PU3OP

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/AF2PU3OPZZBYHRGDRXQIQ25SDS \
  | 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: 0174fa6dcfce4383c4c38de0886bb21c83332dc3106dcd95bc2eb067b4f580fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b5aff3d2bdef2d8bfce487d841163a8efd1ca37e853da29c7a97de8bfc689b2",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-05T15:53:41Z",
    "title_canon_sha256": "e5823ed8086b64d9270e0005621b7bc91d8ad064cd62ab7fb89d2f1b787d64f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01701",
    "kind": "arxiv",
    "version": 3
  }
}