Pith Number

pith:T3K3KCMB

pith:2013:T3K3KCMBTKOZESSEF7VQ2RLGZN

not attested not anchored not stored refs pending

On Rational Connectedness of Globally F-Regular Threefolds

Hiromu Tanaka, Hong R. Zong, Karl Schwede, Yoshinori Gongyo, Zhiyuan Li, Zsolt Patakfalvi

arxiv:1307.8188 v2 · 2013-07-31 · 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{T3K3KCMBTKOZESSEF7VQ2RLGZN}

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	2026-05-18T02:07:32.187984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ed5b509819a9d924a442feb0d4566cb6febe3dfb955d079bb041eff77f45b50

Aliases

arxiv: 1307.8188 · arxiv_version: 1307.8188v2 · doi: 10.48550/arxiv.1307.8188 · pith_short_12: T3K3KCMBTKOZ · pith_short_16: T3K3KCMBTKOZESSE · pith_short_8: T3K3KCMB

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/T3K3KCMBTKOZESSEF7VQ2RLGZN \
  | 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: 9ed5b509819a9d924a442feb0d4566cb6febe3dfb955d079bb041eff77f45b50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20f0afe7a149fe1f7f87a205b70ef107c9de7c9fcab2aea45e3cb03b67220708",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-31T02:03:01Z",
    "title_canon_sha256": "39d25152bf35c35edf5d1a6ebbf4df2533125b2d1d75d646d9e2b2ea2ad848c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8188",
    "kind": "arxiv",
    "version": 2
  }
}