Pith Number

pith:QC6V6OI4

pith:2018:QC6V6OI45U2LVONAJQVMMNXZZQ

not attested not anchored not stored refs pending

On the orthogonal democratic systems in the $L^p$ spaces

A. San Antolin, K.S. Kazarian

arxiv:1812.11905 v1 · 2018-12-31 · 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{QC6V6OI45U2LVONAJQVMMNXZZQ}

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	2026-05-17T23:57:10.797797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80bd5f391ced34bab9a04c2ac636f9cc2a5fb94b5916a6832fec96ab7aabde19

Aliases

arxiv: 1812.11905 · arxiv_version: 1812.11905v1 · doi: 10.48550/arxiv.1812.11905 · pith_short_12: QC6V6OI45U2L · pith_short_16: QC6V6OI45U2LVONA · pith_short_8: QC6V6OI4

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/QC6V6OI45U2LVONAJQVMMNXZZQ \
  | 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: 80bd5f391ced34bab9a04c2ac636f9cc2a5fb94b5916a6832fec96ab7aabde19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d3d4dc848c4b1634a8f898688a1aab790da5c3a493abee9a606ae428a1dab3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-31T17:24:13Z",
    "title_canon_sha256": "b886924db23e4925da49c82dd5049c606bfc11180d1ea725cdeccf3965f4a999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11905",
    "kind": "arxiv",
    "version": 1
  }
}