Pith Number

pith:3R6TISPU

pith:2017:3R6TISPUMHPDFWT4YBOJ2R2HBK

not attested not anchored not stored refs pending

JH$\im$-suboperator pairs with application to invariant approximation by using C-class functions

Arslan Hojat Ansari, Bahman Moeini, Poom Kumam

arxiv:1707.09912 v1 · 2017-07-31 · 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{3R6TISPUMHPDFWT4YBOJ2R2HBK}

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	2026-05-18T00:39:07.788949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc7d3449f461de32da7cc05c9d47470aaeb31b6da50907f78b0519240f950645

Aliases

arxiv: 1707.09912 · arxiv_version: 1707.09912v1 · doi: 10.48550/arxiv.1707.09912 · pith_short_12: 3R6TISPUMHPD · pith_short_16: 3R6TISPUMHPDFWT4 · pith_short_8: 3R6TISPU

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/3R6TISPUMHPDFWT4YBOJ2R2HBK \
  | 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: dc7d3449f461de32da7cc05c9d47470aaeb31b6da50907f78b0519240f950645

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15c6616bde6248db00728ccde444ff76b6867566699f79acc1a88bd73f4fc6e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-07-31T15:12:05Z",
    "title_canon_sha256": "33fd4b770a00edf095dd7ef5b4c414ecce6fde88eeaf560471dc964a14d17d12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09912",
    "kind": "arxiv",
    "version": 1
  }
}