Pith Number

pith:2DDUKEBT

pith:2013:2DDUKEBT2MH4TZME5BUQT7KCRH

not attested not anchored not stored refs pending

Crystalline Hodge cycles and Shimura curves in positive characteristics

Jie Xia

arxiv:1311.0940 v1 · 2013-11-05 · 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{2DDUKEBT2MH4TZME5BUQT7KCRH}

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	2026-05-18T03:07:55.992537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0c7451033d30fc9e584e86909fd4289d04644588544a69152439dcc5423f953

Aliases

arxiv: 1311.0940 · arxiv_version: 1311.0940v1 · doi: 10.48550/arxiv.1311.0940 · pith_short_12: 2DDUKEBT2MH4 · pith_short_16: 2DDUKEBT2MH4TZME · pith_short_8: 2DDUKEBT

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/2DDUKEBT2MH4TZME5BUQT7KCRH \
  | 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: d0c7451033d30fc9e584e86909fd4289d04644588544a69152439dcc5423f953

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33318d16457786e9c91ee502e00a56f41224c2cdafffeaadcf91ec209bcd3267",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-05T01:09:16Z",
    "title_canon_sha256": "6d5ad9cb42711545222520bcda62be52c80531cda551fb137eecc489983d4188"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0940",
    "kind": "arxiv",
    "version": 1
  }
}