Pith Number

pith:JMTEBCKI

pith:2015:JMTEBCKIGU6FQ5KCQNA2BNWBJM

not attested not anchored not stored refs pending

Banach algebras of weakly differentiable functions

Andrea Cianchi, Lenka Slav\'ikov\'a, Lubo\v{s} Pick

arxiv:1512.03198 v1 · 2015-12-10 · 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{JMTEBCKIGU6FQ5KCQNA2BNWBJM}

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	2026-05-18T01:24:37.671330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b26408948353c5875428341a0b6c14b02cdb11e6afe3c033bc6df42899325ba

Aliases

arxiv: 1512.03198 · arxiv_version: 1512.03198v1 · doi: 10.48550/arxiv.1512.03198 · pith_short_12: JMTEBCKIGU6F · pith_short_16: JMTEBCKIGU6FQ5KC · pith_short_8: JMTEBCKI

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/JMTEBCKIGU6FQ5KCQNA2BNWBJM \
  | 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: 4b26408948353c5875428341a0b6c14b02cdb11e6afe3c033bc6df42899325ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a88637eca625522100d3bc3d43350a1a06efdee05fc1117767be43f18f0bec34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-10T10:24:02Z",
    "title_canon_sha256": "d353a6cc66f809ee2e7d3b31a0ca82d5e12fafd0bd0e4972f1fa000c03866906"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03198",
    "kind": "arxiv",
    "version": 1
  }
}