Pith Number

pith:DTUON2XZ

pith:2017:DTUON2XZGY7H3SPTXDY3MOKMI3

not attested not anchored not stored refs pending

Finitely additive measures and complementability of Lipschitz-free spaces

Marek C\'uth, Ond\v{r}ej F.K. Kalenda, Petr Kaplick\'y

arxiv:1703.08384 v2 · 2017-03-24 · 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{DTUON2XZGY7H3SPTXDY3MOKMI3}

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	2026-05-17T23:47:12.885868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ce8e6eaf9363e7dc9f3b8f1b6394c46c8671b908ac7dfc25e37a41e2fbe1bb6

Aliases

arxiv: 1703.08384 · arxiv_version: 1703.08384v2 · doi: 10.48550/arxiv.1703.08384 · pith_short_12: DTUON2XZGY7H · pith_short_16: DTUON2XZGY7H3SPT · pith_short_8: DTUON2XZ

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/DTUON2XZGY7H3SPTXDY3MOKMI3 \
  | 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: 1ce8e6eaf9363e7dc9f3b8f1b6394c46c8671b908ac7dfc25e37a41e2fbe1bb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b5f2ad7e15204c0da75f15ecd6dc6a435cc056368c636719bc81cb4e15796ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-03-24T12:12:58Z",
    "title_canon_sha256": "c72755de4d45b419ea95ac1a2a309116b717ed13b891ad457f3c3dab26269d48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08384",
    "kind": "arxiv",
    "version": 2
  }
}