pith. sign in
Pith Number

pith:6IST7EUC

pith:2011:6IST7EUCSCYTQ4XPVDCBQYY6P7
not attested not anchored not stored refs pending

A Combinatorial Approach to Musielak-Orlicz Spaces

Joscha Prochno

arxiv:1201.0108 v3 · 2011-12-30 · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6IST7EUCSCYTQ4XPVDCBQYY6P7}

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 2026-05-18T03:49:11.810499Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f2253f928290b13872efa8c418631e7fc64201a36f4c81338da1de20cf4626d6

Aliases

arxiv: 1201.0108 · arxiv_version: 1201.0108v3 · doi: 10.48550/arxiv.1201.0108 · pith_short_12: 6IST7EUCSCYT · pith_short_16: 6IST7EUCSCYTQ4XP · pith_short_8: 6IST7EUC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6IST7EUCSCYTQ4XPVDCBQYY6P7 \
  | 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: f2253f928290b13872efa8c418631e7fc64201a36f4c81338da1de20cf4626d6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b4b43d08dfc7a8cd85ebe6a6def4b57e2caf76fe8553f849647d8f830bb9f0a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-12-30T11:22:24Z",
    "title_canon_sha256": "8841314b2342752678c0b2baa8996dab909d7766831fb8ef22ec5fe4c1b5f7fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0108",
    "kind": "arxiv",
    "version": 3
  }
}