Pith Number

pith:CY6XXIQA

pith:2017:CY6XXIQAQKJG7TIPTMXN4QNAEX

not attested not anchored not stored refs pending

Remarks on special kinds of the relative log minimal model program

Kenta Hashizume

arxiv:1704.01115 v1 · 2017-04-04 · 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{CY6XXIQAQKJG7TIPTMXN4QNAEX}

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	2026-05-18T00:47:16.189854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

163d7ba20082926fcd0f9b2ede41a025efa2cbb798a202fe8486622311657db8

Aliases

arxiv: 1704.01115 · arxiv_version: 1704.01115v1 · doi: 10.48550/arxiv.1704.01115 · pith_short_12: CY6XXIQAQKJG · pith_short_16: CY6XXIQAQKJG7TIP · pith_short_8: CY6XXIQA

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/CY6XXIQAQKJG7TIPTMXN4QNAEX \
  | 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: 163d7ba20082926fcd0f9b2ede41a025efa2cbb798a202fe8486622311657db8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f120c4b4c4d7c5b9a40a858b5152ae0afe382dfe74cc0196d8aceddf858e6c03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-04-04T17:56:20Z",
    "title_canon_sha256": "151bfde376ea91d030df9130673d5798277dc9f9fcc9c6b4a252c3bd45fccc6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01115",
    "kind": "arxiv",
    "version": 1
  }
}