Pith Number

pith:SBKO5RPX

pith:2011:SBKO5RPX5LGGWYK2R2PZHZSEXI

not attested not anchored not stored refs pending

Embedding theorems for harmonic multifunctional spaces on R^n+1

Milos Arsenovic, Romi F. Shamoyan

arxiv:1109.2419 v1 · 2011-09-12 · 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{SBKO5RPX5LGGWYK2R2PZHZSEXI}

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	2026-05-18T03:37:09.097036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9054eec5f7eacc6b615a8e9f93e644ba370f2a9c58ff70e64b125b5ddefc4df8

Aliases

arxiv: 1109.2419 · arxiv_version: 1109.2419v1 · doi: 10.48550/arxiv.1109.2419 · pith_short_12: SBKO5RPX5LGG · pith_short_16: SBKO5RPX5LGGWYK2 · pith_short_8: SBKO5RPX

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/SBKO5RPX5LGGWYK2R2PZHZSEXI \
  | 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: 9054eec5f7eacc6b615a8e9f93e644ba370f2a9c58ff70e64b125b5ddefc4df8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "338e2a0fe79dc0d184ae981b252c23d01830ecacdc2e5b670372641cd9d4b9fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-09-12T09:55:12Z",
    "title_canon_sha256": "b4315b57fb32415ff5a60ae435f1b0877da5f78fc914f76da4e10a8829b7e356"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2419",
    "kind": "arxiv",
    "version": 1
  }
}