Pith Number

pith:Q3FKVF5Y

pith:2013:Q3FKVF5YAOU56VUB6NGRARHTMT

not attested not anchored not stored refs pending

Some Banach spaces of Dirichlet series

Maxime Bailleul, Pascal Lef\`evre

arxiv:1311.3845 v1 · 2013-11-15 · 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{Q3FKVF5YAOU56VUB6NGRARHTMT}

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	2026-05-18T03:07:02.894912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86caaa97b803a9df5681f34d1044f364c4bac83a1fd7925b5a472c5795f987ec

Aliases

arxiv: 1311.3845 · arxiv_version: 1311.3845v1 · doi: 10.48550/arxiv.1311.3845 · pith_short_12: Q3FKVF5YAOU5 · pith_short_16: Q3FKVF5YAOU56VUB · pith_short_8: Q3FKVF5Y

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/Q3FKVF5YAOU56VUB6NGRARHTMT \
  | 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: 86caaa97b803a9df5681f34d1044f364c4bac83a1fd7925b5a472c5795f987ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f2aa9fe9b8c9f9bfad0257c383ad1d92b4c7290be8c881853eb21eed1d681e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-11-15T13:29:34Z",
    "title_canon_sha256": "10d1b33dd752c848738efafe79e8acd53ce7767edfb424f982a48f84124c1652"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3845",
    "kind": "arxiv",
    "version": 1
  }
}