Pith Number

pith:HZ2UNKRU

pith:2014:HZ2UNKRUQ3V4BQQTFOV3CVD57F

not attested not anchored not stored refs pending

On the second and third exterior power of tangent bundles of Fano manifolds with birational contractions

Kazunori Yasutake

arxiv:1403.5304 v1 · 2014-03-20 · 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{HZ2UNKRUQ3V4BQQTFOV3CVD57F}

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	2026-05-18T02:55:56.720820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e7546aa3486ebc0c2132babb1547df9757f004af71b47672eebf1061c004804

Aliases

arxiv: 1403.5304 · arxiv_version: 1403.5304v1 · doi: 10.48550/arxiv.1403.5304 · pith_short_12: HZ2UNKRUQ3V4 · pith_short_16: HZ2UNKRUQ3V4BQQT · pith_short_8: HZ2UNKRU

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/HZ2UNKRUQ3V4BQQTFOV3CVD57F \
  | 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: 3e7546aa3486ebc0c2132babb1547df9757f004af71b47672eebf1061c004804

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a81c4981a31905f2a750981bab7faf3073322af01684d39052cc2fd9b68712c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-03-20T21:30:05Z",
    "title_canon_sha256": "e9a7b4f3a0c50d92c03a503b258722998351066a7e35d013cdff9fc58bf5ec11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5304",
    "kind": "arxiv",
    "version": 1
  }
}