Pith Number

pith:ZO2LNCT6

pith:2015:ZO2LNCT6DFXXXX4XHPRMOCRN4C

not attested not anchored not stored refs pending

Rate of convergence of certain families of Jain operators of integral type

Prashantkumar Patel, Vishnu Narayan Mishra

arxiv:1508.05816 v1 · 2015-08-24 · 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{ZO2LNCT6DFXXXX4XHPRMOCRN4C}

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	2026-05-18T01:34:51.596682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbb4b68a7e196f7bdf973be2c70a2de0a674e0c8c5b03cb6b02c0dcc35756760

Aliases

arxiv: 1508.05816 · arxiv_version: 1508.05816v1 · doi: 10.48550/arxiv.1508.05816 · pith_short_12: ZO2LNCT6DFXX · pith_short_16: ZO2LNCT6DFXXXX4X · pith_short_8: ZO2LNCT6

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/ZO2LNCT6DFXXXX4XHPRMOCRN4C \
  | 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: cbb4b68a7e196f7bdf973be2c70a2de0a674e0c8c5b03cb6b02c0dcc35756760

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2da987fbaca3b43581828ab6d195030064784021b8d44844de0efb342cce90ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-08-24T14:15:30Z",
    "title_canon_sha256": "ed11de97d10fc3c9e80813001b1e90f1d1523c829e75384fbcac1bcec5c3211f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05816",
    "kind": "arxiv",
    "version": 1
  }
}