Pith Number

pith:ONVOJZCA

pith:2017:ONVOJZCAXVSPFH7DTXMXOXAPMI

not attested not anchored not stored refs pending

Non-vanishing theorem for lc pairs admitting a Calabi--Yau pair

Kenta Hashizume

arxiv:1708.01851 v1 · 2017-08-06 · 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{ONVOJZCAXVSPFH7DTXMXOXAPMI}

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	2026-05-18T00:38:32.965275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

736ae4e440bd64f29fe39dd9775c0f621968372a84508134d4ec02f2332a02c6

Aliases

arxiv: 1708.01851 · arxiv_version: 1708.01851v1 · doi: 10.48550/arxiv.1708.01851 · pith_short_12: ONVOJZCAXVSP · pith_short_16: ONVOJZCAXVSPFH7D · pith_short_8: ONVOJZCA

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/ONVOJZCAXVSPFH7DTXMXOXAPMI \
  | 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: 736ae4e440bd64f29fe39dd9775c0f621968372a84508134d4ec02f2332a02c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4d15fd8149322041f3ad5061a193d5ee304ef4b8ab3b14eb5c82ae8b1cde4e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-08-06T06:39:22Z",
    "title_canon_sha256": "a7ff6562007fdb3e626a30019b79d8e1ed92f2d9a341feff0345c925113e20a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01851",
    "kind": "arxiv",
    "version": 1
  }
}