Pith Number

pith:CYRHZHMY

pith:2012:CYRHZHMYTYXXYRRA5C2YDLFHGJ

not attested not anchored not stored refs pending

Continuous families of divisors, paracanonical systems and a new inequality for varieties of maximal Albanese dimension

Gian Pietro Pirola, Margarida Mendes Lopes, Rita Pardini

arxiv:1207.4516 v1 · 2012-07-18 · 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{CYRHZHMYTYXXYRRA5C2YDLFHGJ}

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	2026-05-18T02:38:17.713166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16227c9d989e2f7c4620e8b581aca73248917a0716157116f20be76599d2fa1d

Aliases

arxiv: 1207.4516 · arxiv_version: 1207.4516v1 · doi: 10.48550/arxiv.1207.4516 · pith_short_12: CYRHZHMYTYXX · pith_short_16: CYRHZHMYTYXXYRRA · pith_short_8: CYRHZHMY

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/CYRHZHMYTYXXYRRA5C2YDLFHGJ \
  | 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: 16227c9d989e2f7c4620e8b581aca73248917a0716157116f20be76599d2fa1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b0ed09d8353e52fadf6a1ccbf7889dc0ec605181feb68f26b01bfe45adddea7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-18T22:32:09Z",
    "title_canon_sha256": "92c2fc2d8f908ebd31b5b63b7dcbfb8b836d05dd9d67656423d4c6871d45a154"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4516",
    "kind": "arxiv",
    "version": 1
  }
}