Pith Number

pith:JQFLYBMI

pith:2025:JQFLYBMIY7FGIJMPWHK63N7JDF

not attested not anchored not stored refs pending

An optimal $L^2$ extension for continuous $L^2$-optimal Hermitian metrics

Zhuo Liu

arxiv:2506.22840 v1 · 2025-06-28 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQFLYBMIY7FGIJMPWHK63N7JDF}

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	2026-07-05T11:28:46.332855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c0abc0588c7ca64258fb1d5edb7e9194a4dc94d4dd7a88542d1f5e5e5860a56

Aliases

arxiv: 2506.22840 · arxiv_version: 2506.22840v1 · doi: 10.48550/arxiv.2506.22840 · pith_short_12: JQFLYBMIY7FG · pith_short_16: JQFLYBMIY7FGIJMP · pith_short_8: JQFLYBMI

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/JQFLYBMIY7FGIJMPWHK63N7JDF \
  | 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: 4c0abc0588c7ca64258fb1d5edb7e9194a4dc94d4dd7a88542d1f5e5e5860a56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdfe90f618227ba7b18d66072ab29e05618a25dfaf9c914808520de366914e04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2025-06-28T10:41:23Z",
    "title_canon_sha256": "cd01815f97023628f14572b7818676e9aad7e753d2a3769e15a24f756472feab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22840",
    "kind": "arxiv",
    "version": 1
  }
}