Pith Number

pith:VVJIUQMB

pith:2016:VVJIUQMBROYFHREZPFJFNHKXXP

not attested not anchored not stored refs pending

Counterexample to the Generalized Bogomolov-Gieseker Inequality for Threefolds

Benjamin Schmidt

arxiv:1602.05055 v1 · 2016-02-16 · 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{VVJIUQMBROYFHREZPFJFNHKXXP}

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	2026-05-17T23:53:12.177500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad528a41818bb053c4997952569d57bbf72b0a7bd9d96d92444c84371bbd51dc

Aliases

arxiv: 1602.05055 · arxiv_version: 1602.05055v1 · doi: 10.48550/arxiv.1602.05055 · pith_short_12: VVJIUQMBROYF · pith_short_16: VVJIUQMBROYFHREZ · pith_short_8: VVJIUQMB

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/VVJIUQMBROYFHREZPFJFNHKXXP \
  | 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: ad528a41818bb053c4997952569d57bbf72b0a7bd9d96d92444c84371bbd51dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca8c527cd50ebd7e46ab2dd37b5a5ba187e96632f88211d5d1e9af95935906e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-02-16T15:25:48Z",
    "title_canon_sha256": "fcbb4a44d626237d49bde68244ca977b5f7e96e945c4780bb8a67198336eb60a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05055",
    "kind": "arxiv",
    "version": 1
  }
}