Pith Number

pith:SZXJ5I6Q

pith:2018:SZXJ5I6QXAKMDNJBRGZZWCRIL6

not attested not anchored not stored refs pending

On minimal log discrepancies and Koll\'ar components

Joaqu\'in Moraga

arxiv:1810.10137 v1 · 2018-10-24 · 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{SZXJ5I6QXAKMDNJBRGZZWCRIL6}

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	2026-05-18T00:02:24.146300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

966e9ea3d0b814c1b52189b39b0a285f9df5f8ba8ee47023877df217fa6b0528

Aliases

arxiv: 1810.10137 · arxiv_version: 1810.10137v1 · doi: 10.48550/arxiv.1810.10137 · pith_short_12: SZXJ5I6QXAKM · pith_short_16: SZXJ5I6QXAKMDNJB · pith_short_8: SZXJ5I6Q

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/SZXJ5I6QXAKMDNJBRGZZWCRIL6 \
  | 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: 966e9ea3d0b814c1b52189b39b0a285f9df5f8ba8ee47023877df217fa6b0528

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "607dac312baf8d5919e65d02c0fdd0c219a6e55bd676f69d3eae3211817c401e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-10-24T00:28:28Z",
    "title_canon_sha256": "004e598e766c3057f2b0bcce77ba796a439f28c4a0b53f928b3c9f152314b70c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.10137",
    "kind": "arxiv",
    "version": 1
  }
}