Pith Number

pith:FS5XIDQE

pith:2016:FS5XIDQETJLUBJCEKJDPIW43T6

not attested not anchored not stored refs pending

Multiplier ideal sheaves with weights of log canonical threshold one

Qi'an Guan, Zhenqian Li

arxiv:1604.03404 v1 · 2016-04-12 · math.CV · 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{FS5XIDQETJLUBJCEKJDPIW43T6}

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	2026-05-18T01:17:13.727576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cbb740e049a5740a4445246f45b9b9fa95e979c906be79559e798ebb6766135

Aliases

arxiv: 1604.03404 · arxiv_version: 1604.03404v1 · doi: 10.48550/arxiv.1604.03404 · pith_short_12: FS5XIDQETJLU · pith_short_16: FS5XIDQETJLUBJCE · pith_short_8: FS5XIDQE

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/FS5XIDQETJLUBJCEKJDPIW43T6 \
  | 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: 2cbb740e049a5740a4445246f45b9b9fa95e979c906be79559e798ebb6766135

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "179c88db529880dd8f29c23f83b157afcef9142a5172d30dc721363aa767dfd4",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-04-12T13:39:22Z",
    "title_canon_sha256": "f05c73165ab180a5b000848afb57457c8161396f97ed8547fee571f8f99c5169"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03404",
    "kind": "arxiv",
    "version": 1
  }
}