Pith Number

pith:2ZPI2FIQ

pith:2016:2ZPI2FIQRHPJWGUAQ4I6ZIOT56

not attested not anchored not stored refs pending

K-stability of Fano manifolds with not small alpha invariants

Kento Fujita

arxiv:1606.08261 v1 · 2016-06-27 · 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{2ZPI2FIQRHPJWGUAQ4I6ZIOT56}

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	2026-05-18T01:11:52.448144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d65e8d151089de9b1a808711eca1d3efb3af097796a53aa8d54c7f610ecbd5b5

Aliases

arxiv: 1606.08261 · arxiv_version: 1606.08261v1 · doi: 10.48550/arxiv.1606.08261 · pith_short_12: 2ZPI2FIQRHPJ · pith_short_16: 2ZPI2FIQRHPJWGUA · pith_short_8: 2ZPI2FIQ

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/2ZPI2FIQRHPJWGUAQ4I6ZIOT56 \
  | 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: d65e8d151089de9b1a808711eca1d3efb3af097796a53aa8d54c7f610ecbd5b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "845a110970d4f2748a4db9a49c72103e9261fb7c6bf68a712a0f9b7ca41ebffc",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-06-27T13:20:50Z",
    "title_canon_sha256": "671fb89573978a59607cce53fcb119db19d5b4daefc27f845b40ffce7e356c02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08261",
    "kind": "arxiv",
    "version": 1
  }
}