Pith Number

pith:KXC2T6UQ

pith:2016:KXC2T6UQT7677UEOBUA5IMIBYP

not attested not anchored not stored refs pending

Generalized Bogomolov-Gieseker type inequalities on Fano 3-folds

Dulip Piyaratne

arxiv:1607.07172 v3 · 2016-07-25 · 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{KXC2T6UQT7677UEOBUA5IMIBYP}

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	2026-05-18T00:44:42.511847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55c5a9fa909ffdffd08e0d01d43101c3eb82af58be3a0964f4deeec829c12432

Aliases

arxiv: 1607.07172 · arxiv_version: 1607.07172v3 · doi: 10.48550/arxiv.1607.07172 · pith_short_12: KXC2T6UQT767 · pith_short_16: KXC2T6UQT7677UEO · pith_short_8: KXC2T6UQ

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/KXC2T6UQT7677UEOBUA5IMIBYP \
  | 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: 55c5a9fa909ffdffd08e0d01d43101c3eb82af58be3a0964f4deeec829c12432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e13fae2f08240b79589742fb8da0c47276cb6b0a550cf52a65a498d4a659358",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-07-25T07:47:44Z",
    "title_canon_sha256": "5837f5807e97753126dbae99a6f48f09add9226c0cd47a46fcea69054953e587"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07172",
    "kind": "arxiv",
    "version": 3
  }
}