Pith Number

pith:WJAA7G5P

pith:2018:WJAA7G5P5TNIF6M6OSHB6CJDPH

not attested not anchored not stored refs pending

On Generalised Abundance, I

Thomas Peternell, Vladimir Lazi\'c

arxiv:1808.00438 v2 · 2018-08-01 · 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{WJAA7G5P5TNIF6M6OSHB6CJDPH}

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.

Cited by

1 paper in Pith

Abundance for uniruled pairs which are not rationally connected

Receipt and verification

First computed	2026-07-05T00:52:35.535575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2400f9bafecda82f99e748e1f092379c18dc622df00d1b3d568a8c11828c428

Aliases

arxiv: 1808.00438 · arxiv_version: 1808.00438v2 · doi: 10.48550/arxiv.1808.00438 · pith_short_12: WJAA7G5P5TNI · pith_short_16: WJAA7G5P5TNIF6M6 · pith_short_8: WJAA7G5P

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/WJAA7G5P5TNIF6M6OSHB6CJDPH \
  | 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: b2400f9bafecda82f99e748e1f092379c18dc622df00d1b3d568a8c11828c428

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "236e6bdddcb5401864a70473d52b2acade6f3fb447df4a79abd2f8b7b3615bee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-08-01T17:38:17Z",
    "title_canon_sha256": "d69884a35fc070602dfed0cace3e125d197e0a733d1f5fa8371853fb9cb9a117"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00438",
    "kind": "arxiv",
    "version": 2
  }
}