Pith Number

pith:UQYYV6LG

pith:2015:UQYYV6LGYUJZSOIQWNKJDQIRO5

not attested not anchored not stored refs pending

Rational points on log Fano threefolds over a finite field

Hiromu Tanaka, Yoshinori Gongyo, Yusuke Nakamura

arxiv:1512.05003 v3 · 2015-12-15 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UQYYV6LGYUJZSOIQWNKJDQIRO5}

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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

Pseudo-effectivity of the relative canonical divisor and uniruledness in positive characteristic

Receipt and verification

First computed	2026-05-18T00:56:12.327725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4318af966c513993910b35491c111776af1a93a30d9747b87d862e49dbb44d8

Aliases

arxiv: 1512.05003 · arxiv_version: 1512.05003v3 · doi: 10.48550/arxiv.1512.05003 · pith_short_12: UQYYV6LGYUJZ · pith_short_16: UQYYV6LGYUJZSOIQ · pith_short_8: UQYYV6LG

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/UQYYV6LGYUJZSOIQWNKJDQIRO5 \
  | 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: a4318af966c513993910b35491c111776af1a93a30d9747b87d862e49dbb44d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c969bb3aa721ff40ac38184a04db8cbdf8d5d79e3ec8a66c02cb30b8d9ddce27",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-15T23:07:49Z",
    "title_canon_sha256": "bd9d51078d4f767b28975c324aedffe30a6b1dec6ef0080d42ba39e517ab1fe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05003",
    "kind": "arxiv",
    "version": 3
  }
}