Pith Number

pith:QVUAFKAL

pith:2013:QVUAFKAL77TR76KEAZEQGKSKNU

not attested not anchored not stored refs pending

Unitary cycles on Shimura curves and the Shimura lift II

Siddarth Sankaran

arxiv:1309.2083 v2 · 2013-09-09 · 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{QVUAFKAL77TR76KEAZEQGKSKNU}

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	2026-05-17T23:53:35.346576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

856802a80bffe71ff9440649032a4a6d165c956bc5abbc3940c6bc379d7f49f3

Aliases

arxiv: 1309.2083 · arxiv_version: 1309.2083v2 · doi: 10.48550/arxiv.1309.2083 · pith_short_12: QVUAFKAL77TR · pith_short_16: QVUAFKAL77TR76KE · pith_short_8: QVUAFKAL

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/QVUAFKAL77TR76KEAZEQGKSKNU \
  | 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: 856802a80bffe71ff9440649032a4a6d165c956bc5abbc3940c6bc379d7f49f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "647c91d4d2b02c3d806e6f97fdb121b3cc79f726cbaeb9febb973cc074e3725b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-09T09:37:49Z",
    "title_canon_sha256": "bbc037406e1d86ac067455e8e521386ef9d3e9ba82db17866d15ff1dc0b807dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2083",
    "kind": "arxiv",
    "version": 2
  }
}