Pith Number

pith:XPMVBETH

pith:2026:XPMVBETH6DP5WJG6CTDQ73UQLY

not attested not anchored not stored refs pending

Weighted Hodge Laplacians on Manifolds with Boundary

Guo-Wei Wei, Yiying Tong, Zhe Su

arxiv:2608.00244 v1 · 2026-07-31 · 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{XPMVBETH6DP5WJG6CTDQ73UQLY}

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	2026-08-04T00:34:28.000148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbd9509267f0dfdb24de14c70fee905e2c632a6c136c36bb847dac68d4a9f2f7

Aliases

arxiv: 2608.00244 · arxiv_version: 2608.00244v1 · doi: 10.48550/arxiv.2608.00244 · pith_short_12: XPMVBETH6DP5 · pith_short_16: XPMVBETH6DP5WJG6 · pith_short_8: XPMVBETH

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/XPMVBETH6DP5WJG6CTDQ73UQLY \
  | 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: bbd9509267f0dfdb24de14c70fee905e2c632a6c136c36bb847dac68d4a9f2f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02922a7e0c32b5740b32c099dd4e6ecb32091a9e0af1a63efd51291107765122",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-31T19:40:56Z",
    "title_canon_sha256": "599163bb7ee519eeb82e821928a3cc02d95456ecf805bdcb4f176dbc5ccc8b3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00244",
    "kind": "arxiv",
    "version": 1
  }
}