Pith Number

pith:RUO3CR5L

pith:2011:RUO3CR5L4YABMY6XWRJ4KABNGL

not attested not anchored not stored refs pending

Absolutely summing operators revisited: new directions in the nonlinear theory

Adriano Thiago Bernardino, Daniel Pellegrino, Juan B. Seoane-Sep\'ulveda, Marcela L.V. Souza

arxiv:1109.4898 v2 · 2011-09-22 · 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{RUO3CR5L4YABMY6XWRJ4KABNGL}

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	2026-05-18T01:31:20.130746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d1db147abe6001663d7b453c5002d32f5b2e3f46083636e0ed61fd887b711b7

Aliases

arxiv: 1109.4898 · arxiv_version: 1109.4898v2 · doi: 10.48550/arxiv.1109.4898 · pith_short_12: RUO3CR5L4YAB · pith_short_16: RUO3CR5L4YABMY6X · pith_short_8: RUO3CR5L

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/RUO3CR5L4YABMY6XWRJ4KABNGL \
  | 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: 8d1db147abe6001663d7b453c5002d32f5b2e3f46083636e0ed61fd887b711b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3485e58b6f61cd3182aa73e0a69cab469f5f51e928d59b8d71d8556a735c7f99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-09-22T18:05:41Z",
    "title_canon_sha256": "3de4f697e3ed4a36769b81fb9f2b38c56578ae7d55d94a0bfa5a5b717c5341f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4898",
    "kind": "arxiv",
    "version": 2
  }
}