Pith Number

pith:X4ADMVNM

pith:2020:X4ADMVNMBSLF2L3SV27SF2X5HY

not attested not anchored not stored refs pending

On the Bogomolov-Gieseker inequality in positive characteristic

Naoki Koseki

arxiv:2008.09800 v2 · 2020-08-22 · 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{X4ADMVNMBSLF2L3SV27SF2X5HY}

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

Moduli spaces on the Kuznetsov component of Fano threefolds of index 2

Receipt and verification

First computed	2026-07-05T01:31:12.369127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf003655ac0c965d2f72aebf22eafd3e05148414f7309e12dbaadb1c7b8c8d24

Aliases

arxiv: 2008.09800 · arxiv_version: 2008.09800v2 · doi: 10.48550/arxiv.2008.09800 · pith_short_12: X4ADMVNMBSLF · pith_short_16: X4ADMVNMBSLF2L3S · pith_short_8: X4ADMVNM

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/X4ADMVNMBSLF2L3SV27SF2X5HY \
  | 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: bf003655ac0c965d2f72aebf22eafd3e05148414f7309e12dbaadb1c7b8c8d24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05a3b7db0f67a03208bf57d9db379f2bb0b9c6de080c5672788b751be453ccc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-08-22T10:29:27Z",
    "title_canon_sha256": "a3121989f5329936e20e76a8b2cc4c42e3e9f868eb7705d10b22c964ba3be836"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.09800",
    "kind": "arxiv",
    "version": 2
  }
}