Pith Number

pith:27GUT72V

pith:2015:27GUT72VLOZOJEPR3Z7J3A6PPE

not attested not anchored not stored refs pending

Unbounded weighted conditional type operators on L^p spaces

Yousef Estaremi

arxiv:1512.07830 v1 · 2015-12-24 · 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{27GUT72VLOZOJEPR3Z7J3A6PPE}

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	2026-05-18T01:23:47.691422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7cd49ff555bb2e491f1de7e9d83cf790f6ae4a5f6396faee72fd6420ae01778

Aliases

arxiv: 1512.07830 · arxiv_version: 1512.07830v1 · doi: 10.48550/arxiv.1512.07830 · pith_short_12: 27GUT72VLOZO · pith_short_16: 27GUT72VLOZOJEPR · pith_short_8: 27GUT72V

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/27GUT72VLOZOJEPR3Z7J3A6PPE \
  | 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: d7cd49ff555bb2e491f1de7e9d83cf790f6ae4a5f6396faee72fd6420ae01778

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc6576e3934696be308f8621cbdfc922e8f6bd81de11d65e1d6e6ce8f36b24f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-24T14:57:27Z",
    "title_canon_sha256": "ce6a8fcffa3ecdbf315bad4c7d521cb5172ea9cd9d20984e3d5dfc09db37e20d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07830",
    "kind": "arxiv",
    "version": 1
  }
}