Pith Number

pith:BQGDQRHF

pith:2018:BQGDQRHF4C5U4MTYWZGRF7T42D

not attested not anchored not stored refs pending

Toward the equivalence of the ACC for $a$-log canonical thresholds and the ACC for minimal log discrepancies

Jihao Liu

arxiv:1809.04839 v3 · 2018-09-13 · 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{BQGDQRHF4C5U4MTYWZGRF7T42D}

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	2026-07-05T00:05:33.072946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c0c3844e5e0bb4e3278b64d12fe7cd0d404120d3ef35d7bc40898930113171c

Aliases

arxiv: 1809.04839 · arxiv_version: 1809.04839v3 · doi: 10.48550/arxiv.1809.04839 · pith_short_12: BQGDQRHF4C5U · pith_short_16: BQGDQRHF4C5U4MTY · pith_short_8: BQGDQRHF

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/BQGDQRHF4C5U4MTYWZGRF7T42D \
  | 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: 0c0c3844e5e0bb4e3278b64d12fe7cd0d404120d3ef35d7bc40898930113171c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af2be218202b702f6e3f0a5f3f8f68b75b2cb35c5825baafb2b7f97c64941636",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-09-13T08:54:45Z",
    "title_canon_sha256": "5a8f7caf2d46ca19bfeaa35408b2abe86675f2110398450daa4a0e345a51ec3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04839",
    "kind": "arxiv",
    "version": 3
  }
}