Pith Number

pith:2UVJPKNE

pith:2009:2UVJPKNEWE6RJS2Q3QUS3AMZGU

not attested not anchored not stored refs pending

Relative Chow-Kuenneth decompositions for morphisms of threefolds

Morihiko Saito, Stefan M\"uller-Stach

arxiv:0911.3639 v4 · 2009-11-18 · 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{2UVJPKNEWE6RJS2Q3QUS3AMZGU}

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	2026-05-18T02:39:32.501308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d52a97a9a4b13d14cb50dc292d8199352ab59e17e76b9690122e794b99b4a5e9

Aliases

arxiv: 0911.3639 · arxiv_version: 0911.3639v4 · doi: 10.48550/arxiv.0911.3639 · pith_short_12: 2UVJPKNEWE6R · pith_short_16: 2UVJPKNEWE6RJS2Q · pith_short_8: 2UVJPKNE

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/2UVJPKNEWE6RJS2Q3QUS3AMZGU \
  | 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: d52a97a9a4b13d14cb50dc292d8199352ab59e17e76b9690122e794b99b4a5e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e84fb61cebaecc3ec44d016dd6b12a246c36ddedd0738688d12e2d0979ea3590",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-11-18T19:45:34Z",
    "title_canon_sha256": "4789f8ceea301561481b6c6474f64215b44818609d04f4510d7cf3ac219f1685"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3639",
    "kind": "arxiv",
    "version": 4
  }
}