Pith Number

pith:EDRPA52A

pith:2018:EDRPA52AGI2RB2B6I5MXU6OHM4

not attested not anchored not stored refs pending

Inversion of modulo p reduction and a partial descent from characteristic 0 to positive characteristic

Shihoko Ishii

arxiv:1808.10155 v2 · 2018-08-30 · 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{EDRPA52AGI2RB2B6I5MXU6OHM4}

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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.

Cited by

1 paper in Pith

Liftings of ideals in positive characteristic to those in characteristic zero:Surface case

Receipt and verification

First computed	2026-05-18T00:04:54.880940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20e2f07740323510e83e47597a79c76706a9185fc386ec5665cb8471c924730a

Aliases

arxiv: 1808.10155 · arxiv_version: 1808.10155v2 · doi: 10.48550/arxiv.1808.10155 · pith_short_12: EDRPA52AGI2R · pith_short_16: EDRPA52AGI2RB2B6 · pith_short_8: EDRPA52A

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/EDRPA52AGI2RB2B6I5MXU6OHM4 \
  | 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: 20e2f07740323510e83e47597a79c76706a9185fc386ec5665cb8471c924730a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbeb1ffac5d8275411ce202e0ecca65eca3784aaec4949feda3d4a6c0ee898dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-08-30T07:37:05Z",
    "title_canon_sha256": "f84de56cf33ac87029cfc02840607f8c0b078a7425cd2c3a4129c071a209cc79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10155",
    "kind": "arxiv",
    "version": 2
  }
}