Pith Number

pith:4VIEBYVC

pith:2017:4VIEBYVC53FWA2LGMI3HN2RLHD

not attested not anchored not stored refs pending

Random fixed point theorems for Hardy-Rogers self-random operators with applications to random integral equations

Plern Saipara, Poom Kumam, Yeol Je Cho

arxiv:1706.01634 v1 · 2017-06-06 · 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{4VIEBYVC53FWA2LGMI3HN2RLHD}

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	2026-05-18T00:42:56.446782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e55040e2a2eecb606966623676ea2b38c31905ffc1f74c3649871eea24feb74d

Aliases

arxiv: 1706.01634 · arxiv_version: 1706.01634v1 · doi: 10.48550/arxiv.1706.01634 · pith_short_12: 4VIEBYVC53FW · pith_short_16: 4VIEBYVC53FWA2LG · pith_short_8: 4VIEBYVC

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/4VIEBYVC53FWA2LGMI3HN2RLHD \
  | 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: e55040e2a2eecb606966623676ea2b38c31905ffc1f74c3649871eea24feb74d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21355162fc6623d323e359c1ea7d8dd17e964b6b3067c5a5602bc49208556224",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-06-06T07:31:20Z",
    "title_canon_sha256": "0baf3fbc2fd4108a6aaf9e9bb0883e1553893a21a65f90e93afe39de032525f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01634",
    "kind": "arxiv",
    "version": 1
  }
}