Pith Number

pith:TFRT2ZE2

pith:2024:TFRT2ZE2ZNDB66PG4E7PI4OE2B

not attested not anchored not stored refs pending

Continuity of heights in families and complete intersections in toric varieties

Micha{\l} Szachniewicz, Nuno Hultberg, Pablo Destic

arxiv:2412.15988 v1 · 2024-12-20 · math.NT · math.AG · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TFRT2ZE2ZNDB66PG4E7PI4OE2B}

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	2026-07-05T09:52:33.133140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99633d649acb461f79e6e13ef471c4d062c1aad61e9e799f9d3e4faaebc342d6

Aliases

arxiv: 2412.15988 · arxiv_version: 2412.15988v1 · doi: 10.48550/arxiv.2412.15988 · pith_short_12: TFRT2ZE2ZNDB · pith_short_16: TFRT2ZE2ZNDB66PG · pith_short_8: TFRT2ZE2

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/TFRT2ZE2ZNDB66PG4E7PI4OE2B \
  | 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: 99633d649acb461f79e6e13ef471c4d062c1aad61e9e799f9d3e4faaebc342d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5426695086c5e29ee88b576e01c0f08bf15ead657baca40170e05348cc8aaa4",
    "cross_cats_sorted": [
      "math.AG",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-20T15:32:52Z",
    "title_canon_sha256": "c18146f143631f04c7ad84fa23564e0587d583f750065c06b249f01b490cf02a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.15988",
    "kind": "arxiv",
    "version": 1
  }
}