Pith Number

pith:TVDQWA3U

pith:2009:TVDQWA3U6WJ5BQ22QBG5JIO76G

not attested not anchored not stored refs pending

Hodge theory meets the minimal model program: a survey of log canonical and Du Bois singularities

Karl Schwede, S\'andor J Kov\'acs

arxiv:0909.0993 v1 · 2009-09-05 · math.AG · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TVDQWA3U6WJ5BQ22QBG5JIO76G}

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	2026-05-18T04:18:45.193361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d470b0374f593d0c35a804dd4a1dff1bd019b70b372023ae76ad4e4d90f287e

Aliases

arxiv: 0909.0993 · arxiv_version: 0909.0993v1 · doi: 10.48550/arxiv.0909.0993 · pith_short_12: TVDQWA3U6WJ5 · pith_short_16: TVDQWA3U6WJ5BQ22 · pith_short_8: TVDQWA3U

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/TVDQWA3U6WJ5BQ22QBG5JIO76G \
  | 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: 9d470b0374f593d0c35a804dd4a1dff1bd019b70b372023ae76ad4e4d90f287e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9c8d11a45fb6f9c167947b323e86378375b8c8e2eb212cbfd7e840c29527dee",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-09-05T03:01:48Z",
    "title_canon_sha256": "7ac88045a9444d18f4fdb42071f82c8298b8ee6c7ef4b30f9102d1381fe38572"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0993",
    "kind": "arxiv",
    "version": 1
  }
}