Pith Number

pith:RBOLT5YC

pith:2015:RBOLT5YCKIBLDLL4NCBMJDNEU6

not attested not anchored not stored refs pending

On K-stability and the volume functions of $\mathbb{Q}$-Fano varieties

Kento Fujita

arxiv:1508.04052 v1 · 2015-08-17 · math.AG · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RBOLT5YCKIBLDLL4NCBMJDNEU6}

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	2026-05-18T00:15:59.672774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

885cb9f7025202b1ad7c6882c48da4a7acd8bbeaab91151faed1894c68013a43

Aliases

arxiv: 1508.04052 · arxiv_version: 1508.04052v1 · doi: 10.48550/arxiv.1508.04052 · pith_short_12: RBOLT5YCKIBL · pith_short_16: RBOLT5YCKIBLDLL4 · pith_short_8: RBOLT5YC

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/RBOLT5YCKIBLDLL4NCBMJDNEU6 \
  | 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: 885cb9f7025202b1ad7c6882c48da4a7acd8bbeaab91151faed1894c68013a43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d67368f464c3aa6dd29e774b0fc3448bd480e365b66106f8790d4d818bcf4e68",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-17T15:14:58Z",
    "title_canon_sha256": "0f0e64943e17f7f2e5182107f5fa054d50b1534bda5332d4278aff9f1ec5504d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04052",
    "kind": "arxiv",
    "version": 1
  }
}