Pith Number

pith:F3T7JKSL

pith:2015:F3T7JKSLJWTOIQTFIXMBPDVPDM

not attested not anchored not stored refs pending

A remark on the decomposition theorem for direct images of canonical sheaves tensorized with semipositive vector bundles

Taro Fujisawa

arxiv:1512.03887 v1 · 2015-12-12 · 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{F3T7JKSLJWTOIQTFIXMBPDVPDM}

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	2026-05-18T01:24:23.706861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ee7f4aa4b4da6e4426545d8178eaf1b09dadd25e39c862290a70f5497638370

Aliases

arxiv: 1512.03887 · arxiv_version: 1512.03887v1 · doi: 10.48550/arxiv.1512.03887 · pith_short_12: F3T7JKSLJWTO · pith_short_16: F3T7JKSLJWTOIQTF · pith_short_8: F3T7JKSL

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/F3T7JKSLJWTOIQTFIXMBPDVPDM \
  | 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: 2ee7f4aa4b4da6e4426545d8178eaf1b09dadd25e39c862290a70f5497638370

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7fb3f1220e67003690cd4e3fd3725c0ba58bd806d6462d3170cab043db87b19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-12T07:26:35Z",
    "title_canon_sha256": "dc79f60fd178d97671c4636b6139983706ca9a7468a4411133310457e8d5c917"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03887",
    "kind": "arxiv",
    "version": 1
  }
}