Pith Number

pith:GK5HZAYY

pith:2017:GK5HZAYY7QUEMZ2BA5QM6R5CGD

not attested not anchored not stored refs pending

Hypersymplectic 4-manifolds, the $G_2$-Laplacian flow and extension assuming bounded scalar curvature

Chengjian Yao, Joel Fine

arxiv:1704.07620 v2 · 2017-04-25 · 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{GK5HZAYY7QUEMZ2BA5QM6R5CGD}

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	2026-05-17T23:56:48.674325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32ba7c8318fc284667410760cf47a230eb0aa3f60d120051fa117a76d4f3e073

Aliases

arxiv: 1704.07620 · arxiv_version: 1704.07620v2 · doi: 10.48550/arxiv.1704.07620 · pith_short_12: GK5HZAYY7QUE · pith_short_16: GK5HZAYY7QUEMZ2B · pith_short_8: GK5HZAYY

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/GK5HZAYY7QUEMZ2BA5QM6R5CGD \
  | 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: 32ba7c8318fc284667410760cf47a230eb0aa3f60d120051fa117a76d4f3e073

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "736ca386da851893ca929b6fac7c5bf9e4a6ae827bb5bbd967a240ccb79c3d2f",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-04-25T10:36:08Z",
    "title_canon_sha256": "2f6739b5d426d9d585967637ba4415d0d01cb4695a961ac56343fefe1e95fd0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07620",
    "kind": "arxiv",
    "version": 2
  }
}