Pith Number

pith:YLV33VV5

pith:2015:YLV33VV5K4VLUGPLK6ONTKA2U5

not attested not anchored not stored refs pending

Good reduction of Fano threefolds and sextic surfaces

Ariyan Javanpeykar, Daniel Loughran

arxiv:1512.07189 v2 · 2015-12-22 · math.NT · 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{YLV33VV5K4VLUGPLK6ONTKA2U5}

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	2026-05-18T00:44:52.737644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2ebbdd6bd572aba19eb579cd9a81aa74943f0e9bfb5475c8828cd41722a79f7

Aliases

arxiv: 1512.07189 · arxiv_version: 1512.07189v2 · doi: 10.48550/arxiv.1512.07189 · pith_short_12: YLV33VV5K4VL · pith_short_16: YLV33VV5K4VLUGPL · pith_short_8: YLV33VV5

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/YLV33VV5K4VLUGPLK6ONTKA2U5 \
  | 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: c2ebbdd6bd572aba19eb579cd9a81aa74943f0e9bfb5475c8828cd41722a79f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42a5d5549fafb9e9b6b33337bf199ef733dc99811fda59bfb83c5e85aaf51234",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-22T18:20:33Z",
    "title_canon_sha256": "5b501fbb4e15f58ce9f98d2459f940b129ca19cf3ccca35a8f37c625cb493589"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07189",
    "kind": "arxiv",
    "version": 2
  }
}