Pith Number

pith:JVRG7JQR

pith:2016:JVRG7JQR2R4BKS5WAKN6VNBBNU

not attested not anchored not stored refs pending

Topology of holomorphic Lefschetz pencils on the four-torus

Kenta Hayano, Noriyuki Hamada

arxiv:1603.08284 v1 · 2016-03-28 · math.GT · math.AG · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JVRG7JQR2R4BKS5WAKN6VNBBNU}

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	2026-05-18T01:18:12.628897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d626fa611d478154bb6029beab4216d211f25724c656f0e86eb7f6a40726e26

Aliases

arxiv: 1603.08284 · arxiv_version: 1603.08284v1 · doi: 10.48550/arxiv.1603.08284 · pith_short_12: JVRG7JQR2R4B · pith_short_16: JVRG7JQR2R4BKS5W · pith_short_8: JVRG7JQR

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/JVRG7JQR2R4BKS5WAKN6VNBBNU \
  | 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: 4d626fa611d478154bb6029beab4216d211f25724c656f0e86eb7f6a40726e26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "203b247836ef76af3fd18013927be8fee7e35bf11c6675b94e23c7fe8f9595bf",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-03-28T02:48:34Z",
    "title_canon_sha256": "9d616fae1de8a36f3da162a89e434b27132550caef561c74dfb888dfa9126594"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08284",
    "kind": "arxiv",
    "version": 1
  }
}