Pith Number

pith:ZBK7PHL4

pith:2016:ZBK7PHL4YUJHUYQV2RON7QG472

not attested not anchored not stored refs pending

Subspaces of $\displaystyle H^{p}$ linearly homeomorphic to $l^{p}.$

Bernard Chevreau (IMB), Eric Amar (IMB), Isabelle Chalendar (ICJ)

arxiv:1607.02762 v1 · 2016-07-10 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZBK7PHL4YUJHUYQV2RON7QG472}

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	2026-05-18T01:11:16.230499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c855f79d7cc5127a6215d45cdfc0dcfe9720d3b6ec3028c13c240c42d069c79b

Aliases

arxiv: 1607.02762 · arxiv_version: 1607.02762v1 · doi: 10.48550/arxiv.1607.02762 · pith_short_12: ZBK7PHL4YUJH · pith_short_16: ZBK7PHL4YUJHUYQV · pith_short_8: ZBK7PHL4

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/ZBK7PHL4YUJHUYQV2RON7QG472 \
  | 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: c855f79d7cc5127a6215d45cdfc0dcfe9720d3b6ec3028c13c240c42d069c79b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d885156f7176bf76a636223927fb5680b93c8400ec15c7b0145cb3b4105402b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-07-10T16:10:54Z",
    "title_canon_sha256": "a4ad9a5ab84ea532b5ed67f91d5b0752b00d9dc7a226e10722b5834466f38ced"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02762",
    "kind": "arxiv",
    "version": 1
  }
}