Pith Number

pith:YJZPZC5F

pith:2024:YJZPZC5FXQ3UVZGZBVOVOVMVQW

not attested not anchored not stored refs pending

Connection Laplacian on discrete tori with converging property

Haohang Zhang, Shi Wan, Yong Lin

arxiv:2403.06105 v1 · 2024-03-10 · math.SP · math.CO · 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{YJZPZC5FXQ3UVZGZBVOVOVMVQW}

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

One can hear a discrete rectangular torus

Receipt and verification

First computed	2026-07-05T07:54:18.225628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c272fc8ba5bc374ae4d90d5d575595859ec7affd390df7d728b97e1a8db1b6e4

Aliases

arxiv: 2403.06105 · arxiv_version: 2403.06105v1 · doi: 10.48550/arxiv.2403.06105 · pith_short_12: YJZPZC5FXQ3U · pith_short_16: YJZPZC5FXQ3UVZGZ · pith_short_8: YJZPZC5F

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/YJZPZC5FXQ3UVZGZBVOVOVMVQW \
  | 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: c272fc8ba5bc374ae4d90d5d575595859ec7affd390df7d728b97e1a8db1b6e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12288b88661f1ffbcf57efcdbcb266fac0917d6b0aa9f7992240380ac86213ee",
    "cross_cats_sorted": [
      "math.CO",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-03-10T06:17:23Z",
    "title_canon_sha256": "656ae06318148cafcb6b577cc5e1eda4e9d0c66c9f7234d482d152ec3eba27e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.06105",
    "kind": "arxiv",
    "version": 1
  }
}