Pith Number

pith:RLOKKR5A

pith:2017:RLOKKR5AJ2LGZ7DL4S7V2H26ZP

not attested not anchored not stored refs pending

Inequalities related to Symmetrized Harmonic Convex Functions

Absar Ul Haq, Basharat Rehman Ali, Imran Abbas Baloch, Shanhe Wu

arxiv:1711.08051 v1 · 2017-11-04 · 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{RLOKKR5AJ2LGZ7DL4S7V2H26ZP}

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	2026-05-18T00:29:50.840213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8adca547a04e966cfc6be4bf5d1f5ecbe37f7ccc2f358cd60aee23de04839e21

Aliases

arxiv: 1711.08051 · arxiv_version: 1711.08051v1 · doi: 10.48550/arxiv.1711.08051 · pith_short_12: RLOKKR5AJ2LG · pith_short_16: RLOKKR5AJ2LGZ7DL · pith_short_8: RLOKKR5A

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/RLOKKR5AJ2LGZ7DL4S7V2H26ZP \
  | 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: 8adca547a04e966cfc6be4bf5d1f5ecbe37f7ccc2f358cd60aee23de04839e21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a85f734b66f48ade88b930b55afc0923ab6a647cea4911eb876c840b9c5dd71d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-11-04T10:20:23Z",
    "title_canon_sha256": "9f29f6c8dd86f6a66beed03b51ad25e89cd8a4797ec729894b71aae70d81e839"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08051",
    "kind": "arxiv",
    "version": 1
  }
}