Pith Number

pith:DJJ4ULU3

pith:2010:DJJ4ULU3PPIWDBYNQ4U56KJOOJ

not attested not anchored not stored refs pending

Ideal-adic semi-continuity problem for minimal log discrepancies

Masayuki Kawakita

arxiv:1012.0395 v1 · 2010-12-02 · 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{DJJ4ULU3PPIWDBYNQ4U56KJOOJ}

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	2026-05-18T04:34:17.856289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a53ca2e9b7bd161870d8729df292e7252ed32b91cbb4895d97b971c434c1d46

Aliases

arxiv: 1012.0395 · arxiv_version: 1012.0395v1 · doi: 10.48550/arxiv.1012.0395 · pith_short_12: DJJ4ULU3PPIW · pith_short_16: DJJ4ULU3PPIWDBYN · pith_short_8: DJJ4ULU3

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/DJJ4ULU3PPIWDBYNQ4U56KJOOJ \
  | 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: 1a53ca2e9b7bd161870d8729df292e7252ed32b91cbb4895d97b971c434c1d46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13db2533b567b37513152898ec6ac8d943ea87af87e18bc20fbef29f6cffc450",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-02T12:58:23Z",
    "title_canon_sha256": "39d4d2c5e0187ff9ce20719c203d2345fe9cf6f67901d4275fe1367067270644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0395",
    "kind": "arxiv",
    "version": 1
  }
}