Pith Number

pith:5KGSU4SW

pith:2010:5KGSU4SWBS7FDN6QMCGSJA7MOU

not attested not anchored not stored refs pending

On the birational geometry of the universal Picard variety

Claudio Fontanari, Filippo Viviani, Gilberto Bini

arxiv:1006.0722 v7 · 2010-06-03 · 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{5KGSU4SWBS7FDN6QMCGSJA7MOU}

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	2026-05-18T04:01:51.299427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea8d2a72560cbe51b7d0608d2483ec75399f8c7d7e80cdc865f1b630b889b3aa

Aliases

arxiv: 1006.0722 · arxiv_version: 1006.0722v7 · doi: 10.48550/arxiv.1006.0722 · pith_short_12: 5KGSU4SWBS7F · pith_short_16: 5KGSU4SWBS7FDN6Q · pith_short_8: 5KGSU4SW

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/5KGSU4SWBS7FDN6QMCGSJA7MOU \
  | 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: ea8d2a72560cbe51b7d0608d2483ec75399f8c7d7e80cdc865f1b630b889b3aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09b859d98e00b3aaffb8304f8ef2ecb425aa46a92343ddbb9cb9c9e54eece070",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-06-03T19:41:36Z",
    "title_canon_sha256": "82964aa587e6fc96495cd5d01843a6d360ff8779d4ce222f530db21a85c98b2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0722",
    "kind": "arxiv",
    "version": 7
  }
}