Pith Number

pith:73ETBGRY

pith:2026:73ETBGRYARWLSQLWX4Z3FJ2NIJ

not attested not anchored not stored refs pending

Eigenvalues on spheres

Guoyi Xu, Haibin Wang, Shengjie Lin

arxiv:2607.11544 v1 · 2026-07-13 · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{73ETBGRYARWLSQLWX4Z3FJ2NIJ}

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

Dimension of polynomial growth harmonic functions on locally conformally flat manifolds with nonnegative Ricci curvature

Receipt and verification

First computed	2026-07-14T02:22:10.044690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fec9309a38046cb94176bf33b2a74d42416eef2782ee3d80183488fea12ebfd7

Aliases

arxiv: 2607.11544 · arxiv_version: 2607.11544v1 · doi: 10.48550/arxiv.2607.11544 · pith_short_12: 73ETBGRYARWL · pith_short_16: 73ETBGRYARWLSQLW · pith_short_8: 73ETBGRY

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/73ETBGRYARWLSQLWX4Z3FJ2NIJ \
  | 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: fec9309a38046cb94176bf33b2a74d42416eef2782ee3d80183488fea12ebfd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a77fa130e872410fd688564513d59fcc794e7cce1141d3deef8d8a6c0a630a70",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-13T13:32:25Z",
    "title_canon_sha256": "a5508c058cf99e8a56cd1da7ee062f4a8d795bd2e721413ebe45adfa70128775"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11544",
    "kind": "arxiv",
    "version": 1
  }
}