Pith Number

pith:YVFXVMUF

pith:2016:YVFXVMUFTJRS46ADYDRKQA3CU4

not attested not anchored not stored refs pending

Minimal model theory for relatively trivial log canonical pairs

Kenta Hashizume

arxiv:1607.05005 v3 · 2016-07-18 · 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{YVFXVMUFTJRS46ADYDRKQA3CU4}

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	2026-05-18T00:30:17.608436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c54b7ab2859a632e7803c0e2a80362a70dbdb4ea9be57979779cb39da8187a22

Aliases

arxiv: 1607.05005 · arxiv_version: 1607.05005v3 · doi: 10.48550/arxiv.1607.05005 · pith_short_12: YVFXVMUFTJRS · pith_short_16: YVFXVMUFTJRS46AD · pith_short_8: YVFXVMUF

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/YVFXVMUFTJRS46ADYDRKQA3CU4 \
  | 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: c54b7ab2859a632e7803c0e2a80362a70dbdb4ea9be57979779cb39da8187a22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7656cf32762a985ca846e78e09d0dff17b39949c25332876a47cff1d80e1575f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-07-18T10:34:07Z",
    "title_canon_sha256": "14d6dedca8bd0d73115ce720c9cf177ab08d9d48d2706820a6441242603a3d7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05005",
    "kind": "arxiv",
    "version": 3
  }
}