Pith Number

pith:OPDCLLXM

pith:2017:OPDCLLXM6QCFV74MLC6EUSHQ5M

not attested not anchored not stored refs pending

Some examples of DR-indecomposable special fibers of semi-stable reductions over Witt rings

Junchao Shentu, Mao Sheng

arxiv:1710.07013 v1 · 2017-10-19 · 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{OPDCLLXM6QCFV74MLC6EUSHQ5M}

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	2026-05-18T00:32:27.332755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73c625aeecf4045aff8c58bc4a48f0eb0afb6715332e4c806abe0d5cd25eff91

Aliases

arxiv: 1710.07013 · arxiv_version: 1710.07013v1 · doi: 10.48550/arxiv.1710.07013 · pith_short_12: OPDCLLXM6QCF · pith_short_16: OPDCLLXM6QCFV74M · pith_short_8: OPDCLLXM

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/OPDCLLXM6QCFV74MLC6EUSHQ5M \
  | 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: 73c625aeecf4045aff8c58bc4a48f0eb0afb6715332e4c806abe0d5cd25eff91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0abfc531b7c570dfb4314838be80c495d9649b086effc98807cbcdaf3775f779",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-10-19T06:01:24Z",
    "title_canon_sha256": "ead40319a9cf72faf762f0aaa4ebc206c6872a48e1f82a3d07faff2551cb10b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07013",
    "kind": "arxiv",
    "version": 1
  }
}