Pith Number

pith:SZZKCUNH

pith:2016:SZZKCUNH2Q4E7URFD4PKORQTFM

not attested not anchored not stored refs pending

On Isospectral compactness in conformal class for 4-manifolds

Xianfu Liu, Zuoqin Wang

arxiv:1606.02070 v2 · 2016-06-07 · math.SP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SZZKCUNH2Q4E7URFD4PKORQTFM}

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	2026-05-18T00:43:39.711816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9672a151a7d4384fd2251f1ea746132b36ab1201ec5db7c5c72614ed99a4894d

Aliases

arxiv: 1606.02070 · arxiv_version: 1606.02070v2 · doi: 10.48550/arxiv.1606.02070 · pith_short_12: SZZKCUNH2Q4E · pith_short_16: SZZKCUNH2Q4E7URF · pith_short_8: SZZKCUNH

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/SZZKCUNH2Q4E7URFD4PKORQTFM \
  | 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: 9672a151a7d4384fd2251f1ea746132b36ab1201ec5db7c5c72614ed99a4894d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2bda1f0999ba4c75414bc37a104f31eb8ced1c8e31d57ad41cbfcce5a3f22cb",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-06-07T09:11:15Z",
    "title_canon_sha256": "c2b60bea3f18c13442b84b8248040b337449221f1232b6afd54674fa8bec6cc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02070",
    "kind": "arxiv",
    "version": 2
  }
}