Pith Number

pith:TGEYNZYC

pith:2018:TGEYNZYCKKJQW5KLE66J6B7W3K

not attested not anchored not stored refs pending

A sparse approach to mixed weak type inequalities

Israel P. Rivera-R\'ios, Marcela Caldarelli

arxiv:1812.08023 v1 · 2018-12-19 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TGEYNZYCKKJQW5KLE66J6B7W3K}

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	2026-05-17T23:57:55.142924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

998986e70252930b754b27bc9f07f6daac7de7b6d155b90964e5c761b1d15dc7

Aliases

arxiv: 1812.08023 · arxiv_version: 1812.08023v1 · doi: 10.48550/arxiv.1812.08023 · pith_short_12: TGEYNZYCKKJQ · pith_short_16: TGEYNZYCKKJQW5KL · pith_short_8: TGEYNZYC

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/TGEYNZYCKKJQW5KLE66J6B7W3K \
  | 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: 998986e70252930b754b27bc9f07f6daac7de7b6d155b90964e5c761b1d15dc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d865abeaa424469816caa50e8ed2408e4063338e3aab891c479ddc1b2ea0d576",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-12-19T15:35:12Z",
    "title_canon_sha256": "eef8dbc4a9fec1e37303613433158721f75e4c88676e58ba99f7f3e412dcaa88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08023",
    "kind": "arxiv",
    "version": 1
  }
}