Pith Number

pith:BSUQAVV5

pith:2016:BSUQAVV5OK7MY5MNOHXVNAOF6U

not attested not anchored not stored refs pending

Transcendental Liouville inequalities on projective varieties

Carlo Gasbarri

arxiv:1609.04262 v5 · 2016-09-14 · 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{BSUQAVV5OK7MY5MNOHXVNAOF6U}

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	2026-05-18T00:06:56.682288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ca90056bd72becc758d71ef5681c5f51b94802562a557976d77d22a670b9f56

Aliases

arxiv: 1609.04262 · arxiv_version: 1609.04262v5 · doi: 10.48550/arxiv.1609.04262 · pith_short_12: BSUQAVV5OK7M · pith_short_16: BSUQAVV5OK7MY5MN · pith_short_8: BSUQAVV5

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/BSUQAVV5OK7MY5MNOHXVNAOF6U \
  | 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: 0ca90056bd72becc758d71ef5681c5f51b94802562a557976d77d22a670b9f56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93dc241df4a1ca76ba9903fd2b9ad6b2f48b6240218d9d7547234de89b8520d8",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-14T13:30:47Z",
    "title_canon_sha256": "bd7c078972e1b57acfcf1bc3a7f7c263053a4ac8d90ea2922f350fb4befc9082"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04262",
    "kind": "arxiv",
    "version": 5
  }
}