Pith Number

pith:TIGQ4KXD

pith:2013:TIGQ4KXDIZWMSG7E6YK46KY3N6

not attested not anchored not stored refs pending

Classification of polarized symplectic automorphisms of Fano varieties of cubic fourfolds

Lie Fu

arxiv:1303.2241 v2 · 2013-03-09 · 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{TIGQ4KXDIZWMSG7E6YK46KY3N6}

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	2026-05-18T03:30:56.000482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a0d0e2ae3466cc91be4f615cf2b1b6f90d21a06d993df89dcc6982e3f89a023

Aliases

arxiv: 1303.2241 · arxiv_version: 1303.2241v2 · doi: 10.48550/arxiv.1303.2241 · pith_short_12: TIGQ4KXDIZWM · pith_short_16: TIGQ4KXDIZWMSG7E · pith_short_8: TIGQ4KXD

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/TIGQ4KXDIZWMSG7E6YK46KY3N6 \
  | 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: 9a0d0e2ae3466cc91be4f615cf2b1b6f90d21a06d993df89dcc6982e3f89a023

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46e37f9397e910917152714e4c93b6706736a4ac9c53be4e4947aa27066b2115",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-09T17:38:52Z",
    "title_canon_sha256": "73e55c3514d0875e9d94262fe4bc01b47a1c29fbc9d4f513ef74335ca494df2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2241",
    "kind": "arxiv",
    "version": 2
  }
}