Pith Number

pith:BP3C2VLJ

pith:2017:BP3C2VLJ32XYYC7KMK647IPEWW

not attested not anchored not stored refs pending

$L^2$-M\"untz spaces as model spaces

Emmanuel Fricain, Pascal Lefevre

arxiv:1706.03347 v2 · 2017-06-11 · 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{BP3C2VLJ32XYYC7KMK647IPEWW}

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	2026-05-18T00:40:39.894716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bf62d5569deaf8c0bea62bdcfa1e4b5b0b259223a0ac57920024bd6c39a0faf

Aliases

arxiv: 1706.03347 · arxiv_version: 1706.03347v2 · doi: 10.48550/arxiv.1706.03347 · pith_short_12: BP3C2VLJ32XY · pith_short_16: BP3C2VLJ32XYYC7K · pith_short_8: BP3C2VLJ

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/BP3C2VLJ32XYYC7KMK647IPEWW \
  | 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: 0bf62d5569deaf8c0bea62bdcfa1e4b5b0b259223a0ac57920024bd6c39a0faf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89cf5c333a0b38602d7bb0ff4183694eb345c28c5c7e9b9d0cf9cce478e8fb3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-06-11T12:37:02Z",
    "title_canon_sha256": "52a3d875f4fe30d02fab3d419829f6e0b8a70af9328eaff51bc06052243b04a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03347",
    "kind": "arxiv",
    "version": 2
  }
}