Pith Number

pith:WR6XMGKM

pith:2022:WR6XMGKMPHMIJNBTI43RZ7SM3G

not attested not anchored not stored refs pending

Semi-ampleness of NQC generalized log canonical pairs

Jihao Liu, Lingyao Xie

arxiv:2210.01731 v2 · 2022-10-04 · 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{WR6XMGKMPHMIJNBTI43RZ7SM3G}

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	2026-07-05T06:16:35.182323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b47d76194c79d884b43347371cfe4cd9b9f935f547b0e82aec0bc3feaaa910d5

Aliases

arxiv: 2210.01731 · arxiv_version: 2210.01731v2 · doi: 10.48550/arxiv.2210.01731 · pith_short_12: WR6XMGKMPHMI · pith_short_16: WR6XMGKMPHMIJNBT · pith_short_8: WR6XMGKM

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/WR6XMGKMPHMIJNBTI43RZ7SM3G \
  | 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: b47d76194c79d884b43347371cfe4cd9b9f935f547b0e82aec0bc3feaaa910d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d962821a1ee714a0a7407cc2d7a75bd542546aefdb00d7da5087ce57edec49fe",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-10-04T16:44:57Z",
    "title_canon_sha256": "f2e0680436416677ca4ac0a492705be4be4724753d40752ad10b938703df3bb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.01731",
    "kind": "arxiv",
    "version": 2
  }
}