Pith Number

pith:KROZUZW5

pith:2014:KROZUZW5LI5OIA74Z7ETBOV7XB

not attested not anchored not stored refs pending

Families of rational curves on holomorphic symplectic varieties and applications to 0-cycles

Fran\c{c}ois Charles, Gianluca Pacienza

arxiv:1401.4071 v3 · 2014-01-16 · 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{KROZUZW5LI5OIA74Z7ETBOV7XB}

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	2026-05-17T23:39:28.164131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

545d9a66dd5a3ae403fccfc930babfb84d7a7cb602a43778749624577ed40916

Aliases

arxiv: 1401.4071 · arxiv_version: 1401.4071v3 · doi: 10.48550/arxiv.1401.4071 · pith_short_12: KROZUZW5LI5O · pith_short_16: KROZUZW5LI5OIA74 · pith_short_8: KROZUZW5

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/KROZUZW5LI5OIA74Z7ETBOV7XB \
  | 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: 545d9a66dd5a3ae403fccfc930babfb84d7a7cb602a43778749624577ed40916

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7106ae53146d61c3bcb50296b0c9179da9c84a3698818ed7966426447745290",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-01-16T16:02:59Z",
    "title_canon_sha256": "f92109008e568142b778987dce1e23ffdaea5441c3e41b7ab91a4819a7c42828"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4071",
    "kind": "arxiv",
    "version": 3
  }
}