Pith Number

pith:2USPN3EA

pith:2016:2USPN3EAR3DVRP3MMHDNVIIDJ5

not attested not anchored not stored refs pending

On the non-vanishing conjecture and existence of log minimal models

Kenta Hashizume

arxiv:1609.00121 v4 · 2016-09-01 · 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{2USPN3EAR3DVRP3MMHDNVIIDJ5}

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	2026-05-18T00:30:08.840296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d524f6ec808ec758bf6c61c6daa1034f6dd077e9ab896386880dbc3d988c14d0

Aliases

arxiv: 1609.00121 · arxiv_version: 1609.00121v4 · doi: 10.48550/arxiv.1609.00121 · pith_short_12: 2USPN3EAR3DV · pith_short_16: 2USPN3EAR3DVRP3M · pith_short_8: 2USPN3EA

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/2USPN3EAR3DVRP3MMHDNVIIDJ5 \
  | 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: d524f6ec808ec758bf6c61c6daa1034f6dd077e9ab896386880dbc3d988c14d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7da9a693058ec20131b8b0d9cb390b3a50f43ccfd15f013bb8ffb320e9389a4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-01T06:23:00Z",
    "title_canon_sha256": "29aa9ff245acf9c9f05a6315c23c340cb269ec51b74a2ff718c7bf7fef7c1bcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00121",
    "kind": "arxiv",
    "version": 4
  }
}