pith. sign in
Pith Number

pith:WFPZDIVL

pith:2016:WFPZDIVLWVJKUMVHTQ2RLPQMQB
not attested not anchored not stored refs pending

Higher order minimal families of rational curves and Fano manifolds with nef Chern characters

Taku Suzuki

arxiv:1606.09350 v2 · 2016-06-30 · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WFPZDIVLWVJKUMVHTQ2RLPQMQB}

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 2026-05-18T01:06:40.469828Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b15f91a2abb552aa32a79c3515be0c8049d53368e333fc2ca87af02560d3860d

Aliases

arxiv: 1606.09350 · arxiv_version: 1606.09350v2 · doi: 10.48550/arxiv.1606.09350 · pith_short_12: WFPZDIVLWVJK · pith_short_16: WFPZDIVLWVJKUMVH · pith_short_8: WFPZDIVL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WFPZDIVLWVJKUMVHTQ2RLPQMQB \
  | 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: b15f91a2abb552aa32a79c3515be0c8049d53368e333fc2ca87af02560d3860d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6509d31e3e12c5b3b2001de73e5fb7170f127bd84584614051b250778c476ff8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-06-30T05:37:03Z",
    "title_canon_sha256": "0cc386d621066ab8870c3e5308196bf795c929ce2e8e71bacb2e4fbdb05cd29e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.09350",
    "kind": "arxiv",
    "version": 2
  }
}