Pith Number

pith:WPOINU3S

pith:2017:WPOINU3ST7ZMTPREPWA3XYQSXN

not attested not anchored not stored refs pending

Explicit formulas for $C^{1, 1}$ and $C^{1, \omega}_{\textrm{conv}}$ extensions of $1$-jets in Hilbert and superreflexive spaces

Carlos Mudarra, Daniel Azagra, Erwan Le Gruyer

arxiv:1706.02235 v4 · 2017-06-07 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WPOINU3ST7ZMTPREPWA3XYQSXN}

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	2026-05-18T00:28:02.236373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3dc86d3729ff2c9be247d81bbe212bb5aaa94e1eb8fc3367d1b965ab66548a1

Aliases

arxiv: 1706.02235 · arxiv_version: 1706.02235v4 · doi: 10.48550/arxiv.1706.02235 · pith_short_12: WPOINU3ST7ZM · pith_short_16: WPOINU3ST7ZMTPRE · pith_short_8: WPOINU3S

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/WPOINU3ST7ZMTPREPWA3XYQSXN \
  | 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: b3dc86d3729ff2c9be247d81bbe212bb5aaa94e1eb8fc3367d1b965ab66548a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc36c3c8529f32adcc43a081a4a72b010a0f27ad43784029b84fc9e019ac3fc4",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-06-07T15:52:19Z",
    "title_canon_sha256": "a59bdc3047bc301d8d36583b8f8928ea63be0109b70e740521c295cd19db5b49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02235",
    "kind": "arxiv",
    "version": 4
  }
}