Pith Number

pith:BTEVUP2Y

pith:2010:BTEVUP2YOL3QTBDKHLFBPWD3D3

not attested not anchored not stored refs pending

Local symmetry of harmonic spaces as determined by the spectra of small geodesic spheres

Dorothee Schueth, Teresa Arias-Marco

arxiv:1001.1611 v2 · 2010-01-11 · 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{BTEVUP2YOL3QTBDKHLFBPWD3D3}

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.

Receipt and verification

First computed	2026-05-18T03:59:12.450736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cc95a3f5872f709846a3aca17d87b1ec58698dd8e654584090bfa4bd5d8b15c

Aliases

arxiv: 1001.1611 · arxiv_version: 1001.1611v2 · doi: 10.48550/arxiv.1001.1611 · pith_short_12: BTEVUP2YOL3Q · pith_short_16: BTEVUP2YOL3QTBDK · pith_short_8: BTEVUP2Y

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/BTEVUP2YOL3QTBDKHLFBPWD3D3 \
  | 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: 0cc95a3f5872f709846a3aca17d87b1ec58698dd8e654584090bfa4bd5d8b15c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab7772703a1e877764ddff5f54a42db27c76e4f5b93ef5549cffaa874b8aab68",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-01-11T09:39:06Z",
    "title_canon_sha256": "355006c194c7d040b0f56667057e03bea9a86cd8f5cf3579255690f88e4e3dc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1611",
    "kind": "arxiv",
    "version": 2
  }
}