Pith Number

pith:53LYE6QT

pith:2024:53LYE6QTHPXIN564XYHOFPAGUL

not attested not anchored not stored refs pending

Spectral forms and de-Rham Hodge operator

Jian Wang, Mingyu Liu, Yong Wang

arxiv:2410.08506 v2 · 2024-10-11 · 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{53LYE6QTHPXIN564XYHOFPAGUL}

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.

Cited by

1 paper in Pith

On Geometric Spectral Functionals

Receipt and verification

First computed	2026-07-05T11:11:35.703239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eed7827a133bee86f7dcbe0ee2bc06a2e3d0051ec51ffcf383b3c23ba7b0ca32

Aliases

arxiv: 2410.08506 · arxiv_version: 2410.08506v2 · doi: 10.48550/arxiv.2410.08506 · pith_short_12: 53LYE6QTHPXI · pith_short_16: 53LYE6QTHPXIN564 · pith_short_8: 53LYE6QT

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/53LYE6QTHPXIN564XYHOFPAGUL \
  | 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: eed7827a133bee86f7dcbe0ee2bc06a2e3d0051ec51ffcf383b3c23ba7b0ca32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b682ee80c3f09104a48444d14b3c8d13d486f559ba731a93da8f798969d0aaa0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-10-11T04:17:26Z",
    "title_canon_sha256": "0b8dea2cf3c8631a8c58a705e53cfbbdfb4803dc463ed5b48be4c738ac8961c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.08506",
    "kind": "arxiv",
    "version": 2
  }
}