Pith Number

pith:2RHA2IYC

pith:2021:2RHA2IYCPHFTWFGJ2KTOOCXCJ5

not attested not anchored not stored refs pending

On generalized minimal log discrepancy

Weichung Chen, Yoshinori Gongyo, Yusuke Nakamura

arxiv:2112.09501 v2 · 2021-12-17 · 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{2RHA2IYCPHFTWFGJ2KTOOCXCJ5}

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.

Cited by

1 paper in Pith

Discreteness of volumes of divisors on Calabi-Yau type varieties

Receipt and verification

First computed	2026-07-05T08:05:46.167704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d44e0d230279cb3b14c9d2a6e70ae24f6b64686015c82acc1162241a00bed4c9

Aliases

arxiv: 2112.09501 · arxiv_version: 2112.09501v2 · doi: 10.48550/arxiv.2112.09501 · pith_short_12: 2RHA2IYCPHFT · pith_short_16: 2RHA2IYCPHFTWFGJ · pith_short_8: 2RHA2IYC

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/2RHA2IYCPHFTWFGJ2KTOOCXCJ5 \
  | 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: d44e0d230279cb3b14c9d2a6e70ae24f6b64686015c82acc1162241a00bed4c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59c191ab3f638a120ee6e85f10050aa762639740eb36f67fef6d131f7a05011d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-12-17T13:20:19Z",
    "title_canon_sha256": "c616ef8194b241bb184e1e1dec1026d4ac195098ba632739dbbf53e0f43ba50c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.09501",
    "kind": "arxiv",
    "version": 2
  }
}