Pith Number

pith:AD3XRROW

pith:2016:AD3XRROWICU75KA3ZRWEBD7PJH

not attested not anchored not stored refs pending

Lipschitz-free spaces and Schur properties

Colin Petitjean

arxiv:1603.01391 v5 · 2016-03-04 · 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{AD3XRROWICU75KA3ZRWEBD7PJH}

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	2026-05-18T00:46:42.771822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00f778c5d640a9fea81bcc6c408fef49ee3c791193f2d69468d684b5613f80c6

Aliases

arxiv: 1603.01391 · arxiv_version: 1603.01391v5 · doi: 10.48550/arxiv.1603.01391 · pith_short_12: AD3XRROWICU7 · pith_short_16: AD3XRROWICU75KA3 · pith_short_8: AD3XRROW

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/AD3XRROWICU75KA3ZRWEBD7PJH \
  | 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: 00f778c5d640a9fea81bcc6c408fef49ee3c791193f2d69468d684b5613f80c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e14ae490c40bbbbdb8d766eae055dc81df24823b466fb2607928e562e890da5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-03-04T09:22:40Z",
    "title_canon_sha256": "5fff8bb017e162948ef9f6cb647268d0e3a61bbc9cb2272995ca2e9aee457798"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01391",
    "kind": "arxiv",
    "version": 5
  }
}