Pith Number

pith:OPHJOTOK

pith:2015:OPHJOTOKJP23AHXTPAKVNZEZR3

not attested not anchored not stored refs pending

An integral formula for multiple summing norms of operators

Dami\'an Pinasco, Daniel Carando, Santiago Muro, Ver\'onica Dimant

arxiv:1503.01638 v1 · 2015-03-05 · 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{OPHJOTOKJP23AHXTPAKVNZEZR3}

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	2026-05-18T02:25:33.230893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73ce974dca4bf5b01ef3781556e4998ecdccd4125abc5cdc7b07539a0fa7008a

Aliases

arxiv: 1503.01638 · arxiv_version: 1503.01638v1 · doi: 10.48550/arxiv.1503.01638 · pith_short_12: OPHJOTOKJP23 · pith_short_16: OPHJOTOKJP23AHXT · pith_short_8: OPHJOTOK

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/OPHJOTOKJP23AHXTPAKVNZEZR3 \
  | 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: 73ce974dca4bf5b01ef3781556e4998ecdccd4125abc5cdc7b07539a0fa7008a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da24f59d6f0d97480a12b3a323b40aa4f0c0e47a611da911eefae67ce696c6b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-03-05T13:59:21Z",
    "title_canon_sha256": "49f327ad096209792041eefdaa07028796ec70a07be93821a2e4fb24ec35b351"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01638",
    "kind": "arxiv",
    "version": 1
  }
}