Pith Number

pith:N2A7KNHP

pith:2016:N2A7KNHP5KY4V6OQMB4UICYJ4K

not attested not anchored not stored refs pending

Surjectivity of Mean Value Operators on Noncompact Symmetric Spaces

Fulton Gonzalez, Jens Christensen, Tomoyuki Kakehi

arxiv:1608.01869 v1 · 2016-08-05 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N2A7KNHP5KY4V6OQMB4UICYJ4K}

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	2026-05-18T01:09:44.398293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e81f534efeab1caf9d06079440b09e293d877a9273b2bd163ea3e236937277e

Aliases

arxiv: 1608.01869 · arxiv_version: 1608.01869v1 · doi: 10.48550/arxiv.1608.01869 · pith_short_12: N2A7KNHP5KY4 · pith_short_16: N2A7KNHP5KY4V6OQ · pith_short_8: N2A7KNHP

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/N2A7KNHP5KY4V6OQMB4UICYJ4K \
  | 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: 6e81f534efeab1caf9d06079440b09e293d877a9273b2bd163ea3e236937277e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dec44ca6dbf5e1a6fdf77253911b95c2a859b0242d56298bfef341259efd0c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-08-05T12:55:50Z",
    "title_canon_sha256": "3cdeb9a21a860e6d784a8322c8bf23929da76afc04478d53b2bbe15d5091102e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01869",
    "kind": "arxiv",
    "version": 1
  }
}