Pith Number

pith:QDAVXGP3

pith:2025:QDAVXGP3GX3LUV6ZJ2I7VLOS7O

not attested not anchored not stored refs pending

On Hodge Laplacians on General Simplicial Complexes

Matthias Keller, Philipp Bartmann

arxiv:2508.07761 v1 · 2025-08-11 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QDAVXGP3GX3LUV6ZJ2I7VLOS7O}

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

2 papers in Pith

Collapsed Effective Operators for Higher-order Structures

The complex property of the boundary operator on simplicial complexes

Receipt and verification

First computed	2026-07-05T11:51:51.792939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80c15b99fb35f6ba57d94e91faadd2fb81f12ffa9f4718ca107fcfaaa1f156cc

Aliases

arxiv: 2508.07761 · arxiv_version: 2508.07761v1 · doi: 10.48550/arxiv.2508.07761 · pith_short_12: QDAVXGP3GX3L · pith_short_16: QDAVXGP3GX3LUV6Z · pith_short_8: QDAVXGP3

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/QDAVXGP3GX3LUV6ZJ2I7VLOS7O \
  | 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: 80c15b99fb35f6ba57d94e91faadd2fb81f12ffa9f4718ca107fcfaaa1f156cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b589456431a9599b0f305525dcc395e4e44ba84931123817f00f0d336d30f66",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-08-11T08:46:19Z",
    "title_canon_sha256": "003c62148d20caad22693ee5db1dc5aa46641de7ac9e5651198a9be8bb4d88d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.07761",
    "kind": "arxiv",
    "version": 1
  }
}