Pith Number

pith:SLXOO7XK

pith:2012:SLXOO7XKHC2IJDH5H6BDKCK7RF

not attested not anchored not stored refs pending

Computing modular equations for Shimura curves

Yifan Yang

arxiv:1205.5217 v2 · 2012-05-23 · 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{SLXOO7XKHC2IJDH5H6BDKCK7RF}

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	2026-05-18T03:54:25.389304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92eee77eea38b4848cfd3f8235095f89438b9c87ba03b1a07a339166c718d4ea

Aliases

arxiv: 1205.5217 · arxiv_version: 1205.5217v2 · doi: 10.48550/arxiv.1205.5217 · pith_short_12: SLXOO7XKHC2I · pith_short_16: SLXOO7XKHC2IJDH5 · pith_short_8: SLXOO7XK

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/SLXOO7XKHC2IJDH5H6BDKCK7RF \
  | 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: 92eee77eea38b4848cfd3f8235095f89438b9c87ba03b1a07a339166c718d4ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6d4d9a1b9588037cf40051a2f362cacc114c424273701d5aa395fd87a8b496a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-23T16:22:09Z",
    "title_canon_sha256": "eef3f4859dbe1dbf64742b66b890aa018574fa26f6dfab0fe127dbdf4e3bd8cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5217",
    "kind": "arxiv",
    "version": 2
  }
}