Pith Number

pith:JEEIAG6S

pith:2024:JEEIAG6STQUA5K2W4ETJDGCIUX

not attested not anchored not stored refs pending

P\'olya's conjecture for thin products

Xiang He, Zuoqin Wang

arxiv:2402.12093 v3 · 2024-02-19 · math.SP · 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{JEEIAG6STQUA5K2W4ETJDGCIUX}

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

Krahn--Szeg\H{o} type inequalities and nodal domain methods on graphs

Improved lower bounds for Dirichlet eigenvalues of the Laplacian and poly-Laplacian on bounded Euclidean domains

Receipt and verification

First computed	2026-07-05T11:33:57.467769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4908801bd29c280eab56e126919848a5f78a9d8b757b110272baaab14cfb7fee

Aliases

arxiv: 2402.12093 · arxiv_version: 2402.12093v3 · doi: 10.48550/arxiv.2402.12093 · pith_short_12: JEEIAG6STQUA · pith_short_16: JEEIAG6STQUA5K2W · pith_short_8: JEEIAG6S

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/JEEIAG6STQUA5K2W4ETJDGCIUX \
  | 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: 4908801bd29c280eab56e126919848a5f78a9d8b757b110272baaab14cfb7fee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ddb56930ecfdcf88cccd53826d6954456c9c2e929fc74af507afe945985686f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-02-19T12:16:15Z",
    "title_canon_sha256": "6c49aae2d14f365373e3e8577876a7b7a01ccd3726b58f20a4e43f8e237c3a4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.12093",
    "kind": "arxiv",
    "version": 3
  }
}