Pith Number

pith:32M3WG2E

pith:2013:32M3WG2ENUAVIDCV2SIO2V4BNG

not attested not anchored not stored refs pending

Unitary cycles on Shimura curves and the Shimura lift I

Siddarth Sankaran

arxiv:1302.4650 v2 · 2013-02-19 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32M3WG2ENUAVIDCV2SIO2V4BNG}

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	2026-05-18T02:51:57.165117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de99bb1b446d01540c55d490ed578169b4fdb93c1a87b6fa39e6a06dc06cbf6a

Aliases

arxiv: 1302.4650 · arxiv_version: 1302.4650v2 · doi: 10.48550/arxiv.1302.4650 · pith_short_12: 32M3WG2ENUAV · pith_short_16: 32M3WG2ENUAVIDCV · pith_short_8: 32M3WG2E

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/32M3WG2ENUAVIDCV2SIO2V4BNG \
  | 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: de99bb1b446d01540c55d490ed578169b4fdb93c1a87b6fa39e6a06dc06cbf6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbf0817940d8e7a85c3370ee281b2f78b28eec06d3f7ec7634237d0d78772c30",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-19T15:52:15Z",
    "title_canon_sha256": "ac74af943bf94f02449b50cd0da510b105b1ff8b928d4e71475c8ae86e849ea2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4650",
    "kind": "arxiv",
    "version": 2
  }
}