Pith Number

pith:KZIW5LQ3

pith:2016:KZIW5LQ3BMNRCPH2K5H6RP5THK

not attested not anchored not stored refs pending

A Spectral Characterization Of Geodesic Balls In Non-Compact Rank One Symmetric Spaces

Berardo Ruffini (IMAG), Philippe Castillon (IMAG)

arxiv:1611.06081 v4 · 2016-11-18 · math.AP · 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{KZIW5LQ3BMNRCPH2K5H6RP5THK}

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	2026-05-18T00:22:44.853747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56516eae1b0b1b113cfa574fe8bfb33a8254e202c0d5b577b3c7c6d990d6fa54

Aliases

arxiv: 1611.06081 · arxiv_version: 1611.06081v4 · doi: 10.48550/arxiv.1611.06081 · pith_short_12: KZIW5LQ3BMNR · pith_short_16: KZIW5LQ3BMNRCPH2 · pith_short_8: KZIW5LQ3

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/KZIW5LQ3BMNRCPH2K5H6RP5THK \
  | 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: 56516eae1b0b1b113cfa574fe8bfb33a8254e202c0d5b577b3c7c6d990d6fa54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e338ada90ca1922d919d15e2c8bfc442c0c785c2222876c4a7cf7dde091295d8",
    "cross_cats_sorted": [
      "math.DG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-18T14:02:49Z",
    "title_canon_sha256": "b5d15861bed6a592bc39ece0260f8c3371df9ace8692aa70a96fb3e33be47351"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06081",
    "kind": "arxiv",
    "version": 4
  }
}