Pith Number

pith:XTZOCWLB

pith:2009:XTZOCWLBLRLHAWVOZEITOS7KDM

not attested not anchored not stored refs pending

Special cycles on unitary Shimura varieties II: global theory

Michael Rapoport, Stephen Kudla

arxiv:0912.3758 v2 · 2009-12-18 · math.AG · 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{XTZOCWLBLRLHAWVOZEITOS7KDM}

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	2026-05-18T03:38:14.596367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcf2e159615c56705aaec911374bea1b066b57764c5b1ba3110b2ab4afb1d9f9

Aliases

arxiv: 0912.3758 · arxiv_version: 0912.3758v2 · doi: 10.48550/arxiv.0912.3758 · pith_short_12: XTZOCWLBLRLH · pith_short_16: XTZOCWLBLRLHAWVO · pith_short_8: XTZOCWLB

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/XTZOCWLBLRLHAWVOZEITOS7KDM \
  | 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: bcf2e159615c56705aaec911374bea1b066b57764c5b1ba3110b2ab4afb1d9f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "293c2b68f6b1514bc93f7120c2dd0ac576cab11ae317167c5dd1e55d6b177901",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-12-18T18:16:45Z",
    "title_canon_sha256": "76efcc7715e41e9229db4dcb23b1ab531626c3f568428dba3ff24e1f2a22bd1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3758",
    "kind": "arxiv",
    "version": 2
  }
}