Pith Number

pith:LUP2NRJ7

pith:2014:LUP2NRJ7RTEYZOISVWRMAGNERP

not attested not anchored not stored refs pending

Direct images of relative pluricanonical bundles

Osamu Fujino

arxiv:1409.7437 v3 · 2014-09-25 · 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{LUP2NRJ7RTEYZOISVWRMAGNERP}

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	2026-05-18T02:17:53.052996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d1fa6c53f8cc98cb912ada2c019a48bf3c607a2bfa4387887e49840ff92daf7

Aliases

arxiv: 1409.7437 · arxiv_version: 1409.7437v3 · doi: 10.48550/arxiv.1409.7437 · pith_short_12: LUP2NRJ7RTEY · pith_short_16: LUP2NRJ7RTEYZOIS · pith_short_8: LUP2NRJ7

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/LUP2NRJ7RTEYZOISVWRMAGNERP \
  | 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: 5d1fa6c53f8cc98cb912ada2c019a48bf3c607a2bfa4387887e49840ff92daf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "996df68fe356a9e0af308c83f5ce797cb8ba4974e10d7748ee1d447e64b15fae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-09-25T23:07:05Z",
    "title_canon_sha256": "073702205a44cdabc82de04d48e93e0652a7a860c2cdd212b4e2edc9d2837bd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7437",
    "kind": "arxiv",
    "version": 3
  }
}