Pith Number

pith:O5SCKVCT

pith:2018:O5SCKVCTRQ5JXTQSB4FI7NYRB6

not attested not anchored not stored refs pending

Weak Zariski decompositions and log terminal models for generalized polarized pairs

Jingjun Han, Zhan Li

arxiv:1806.01234 v2 · 2018-06-04 · 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{O5SCKVCTRQ5JXTQSB4FI7NYRB6}

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	2026-05-17T23:55:29.321849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77642554538c3a9bce120f0a8fb7110fa0979491479f98c1654ca836e245c2f8

Aliases

arxiv: 1806.01234 · arxiv_version: 1806.01234v2 · doi: 10.48550/arxiv.1806.01234 · pith_short_12: O5SCKVCTRQ5J · pith_short_16: O5SCKVCTRQ5JXTQS · pith_short_8: O5SCKVCT

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/O5SCKVCTRQ5JXTQSB4FI7NYRB6 \
  | 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: 77642554538c3a9bce120f0a8fb7110fa0979491479f98c1654ca836e245c2f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3682510f0bbef4d5b3356a5f67042cf113c5f5b944baa2bc328922ca6d914fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-06-04T17:22:03Z",
    "title_canon_sha256": "3e949a09997b3b702b4b4b1f29676cd71d06014d67871c1ed39e65e98543a4c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.01234",
    "kind": "arxiv",
    "version": 2
  }
}