Pith Number

pith:NT3QBPP2

pith:2015:NT3QBPP2TVY3CHTICJKTNKZTGW

not attested not anchored not stored refs pending

An explicit semi-factorial compactification of the N\'eron model

Jesse Leo Kass

arxiv:1507.08753 v1 · 2015-07-31 · 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{NT3QBPP2TVY3CHTICJKTNKZTGW}

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	2026-05-18T01:36:02.941986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cf700bdfa9d71b11e68125536ab3335a95f55f6d4f72c0b1889c8075584859d

Aliases

arxiv: 1507.08753 · arxiv_version: 1507.08753v1 · doi: 10.48550/arxiv.1507.08753 · pith_short_12: NT3QBPP2TVY3 · pith_short_16: NT3QBPP2TVY3CHTI · pith_short_8: NT3QBPP2

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/NT3QBPP2TVY3CHTICJKTNKZTGW \
  | 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: 6cf700bdfa9d71b11e68125536ab3335a95f55f6d4f72c0b1889c8075584859d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c689ea773a4601ef40f96e22239b9c439c3942aa6ef25f40ec21abc29d874a99",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-31T04:53:28Z",
    "title_canon_sha256": "bb58647f98d018ac5796e382c544955d4434197abad5cc6d7c34d9eb43cc6e6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08753",
    "kind": "arxiv",
    "version": 1
  }
}