Pith Number

pith:GXG54IXT

pith:2013:GXG54IXTMB5M5IUNZWAMQBTASM

not attested not anchored not stored refs pending

On Goren-Oort stratification for quaternionic Shimura varieties

Liang Xiao, Yichao Tian

arxiv:1308.0790 v4 · 2013-08-04 · 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{GXG54IXTMB5M5IUNZWAMQBTASM}

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	2026-05-17T23:53:15.210889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35cdde22f3607acea28dcd80c806609332c7df11ab2f11d0237115705434374f

Aliases

arxiv: 1308.0790 · arxiv_version: 1308.0790v4 · doi: 10.48550/arxiv.1308.0790 · pith_short_12: GXG54IXTMB5M · pith_short_16: GXG54IXTMB5M5IUN · pith_short_8: GXG54IXT

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/GXG54IXTMB5M5IUNZWAMQBTASM \
  | 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: 35cdde22f3607acea28dcd80c806609332c7df11ab2f11d0237115705434374f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55cd2358f84995a482255e68eb1f4386434e5c4e0d83374093abae6f2e9a5b58",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-08-04T09:03:06Z",
    "title_canon_sha256": "d7543abe5e9540d3b6689d5cca18537be1ff637f6d15b454203c7fdff4b66813"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0790",
    "kind": "arxiv",
    "version": 4
  }
}