Pith Number

pith:4IX7TTUS

pith:2015:4IX7TTUSHSPE77ZFLY5AX6BAAK

not attested not anchored not stored refs pending

Some Fundamental Theorems of Functional Analysis with Bicomplex and Hyperbolic Scalars

Heera Saini Aditi Sharma, Romesh Kumar

arxiv:1510.01538 v3 · 2015-10-06 · 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{4IX7TTUSHSPE77ZFLY5AX6BAAK}

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	2026-05-18T00:05:51.643149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e22ff9ce923c9e4fff255e3a0bf82002bf8a12232ac6c02942279bd4bdeaa6b8

Aliases

arxiv: 1510.01538 · arxiv_version: 1510.01538v3 · doi: 10.48550/arxiv.1510.01538 · pith_short_12: 4IX7TTUSHSPE · pith_short_16: 4IX7TTUSHSPE77ZF · pith_short_8: 4IX7TTUS

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/4IX7TTUSHSPE77ZFLY5AX6BAAK \
  | 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: e22ff9ce923c9e4fff255e3a0bf82002bf8a12232ac6c02942279bd4bdeaa6b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfd2f2061ca39ea3e89e80012dc11d2f5e171fd48b9765e0ffd66521cba94e5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-10-06T11:52:03Z",
    "title_canon_sha256": "18ea59283fcb618ab23020b89576c312334616148b8b72deab4cd3afcd503573"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01538",
    "kind": "arxiv",
    "version": 3
  }
}