Pith Number

pith:YSFJK6GR

pith:2015:YSFJK6GRDWH3LVT7R2JT4S5ICX

not attested not anchored not stored refs pending

Criteria for the existence of equivariant fibrations on algebraic surfaces and hyperk\"ahler manifolds and equality of automorphisms up to powers - a dynamical viewpoint

De-Qi Zhang, Fei Hu, JongHae Keum

arxiv:1509.02996 v1 · 2015-09-10 · math.AG · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YSFJK6GRDWH3LVT7R2JT4S5ICX}

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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	2026-05-17T23:41:28.144157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c48a9578d11d8fb5d67f8e933e4ba815f3aafad2db98a344f5b8f0f3250dc529

Aliases

arxiv: 1509.02996 · arxiv_version: 1509.02996v1 · doi: 10.48550/arxiv.1509.02996 · pith_short_12: YSFJK6GRDWH3 · pith_short_16: YSFJK6GRDWH3LVT7 · pith_short_8: YSFJK6GR

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/YSFJK6GRDWH3LVT7R2JT4S5ICX \
  | 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: c48a9578d11d8fb5d67f8e933e4ba815f3aafad2db98a344f5b8f0f3250dc529

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "205f172dc05afecffad0c5484d9f8c75c46b911bca3f642c1cbb4f4894d3769a",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-10T03:27:54Z",
    "title_canon_sha256": "e8c811dc35c1509ef449cf57b30a40587f1607d5dfda7fd1263cd3d5bd7bbb9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02996",
    "kind": "arxiv",
    "version": 1
  }
}