Pith Number

pith:XUT2GM5J

pith:2015:XUT2GM5JI7G7GFH533UXIUYU3Z

not attested not anchored not stored refs pending

Generalized variational inclusion governed by generalized $\alpha\beta$-$H((., .), (., .))$-mixed accretive mapping in real $q$-uniformly smooth Banach spaces

Sanjeev Gupta, Shamshad Husain, Vishnu Narayan Mishra

arxiv:1510.01601 v1 · 2015-09-06 · 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{XUT2GM5JI7G7GFH533UXIUYU3Z}

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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	2026-05-18T01:30:56.502090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd27a333a947cdf314fddee9745314de75028e950a5d2dbf4f8e69f67ababe7a

Aliases

arxiv: 1510.01601 · arxiv_version: 1510.01601v1 · doi: 10.48550/arxiv.1510.01601 · pith_short_12: XUT2GM5JI7G7 · pith_short_16: XUT2GM5JI7G7GFH5 · pith_short_8: XUT2GM5J

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/XUT2GM5JI7G7GFH533UXIUYU3Z \
  | 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: bd27a333a947cdf314fddee9745314de75028e950a5d2dbf4f8e69f67ababe7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f9f721da20d2fb98520fc426efb2ee84dbb160bc8aae2d2804e17249623e6c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-09-06T14:34:25Z",
    "title_canon_sha256": "51f6f5fe18c92d9fc65e2b329c6401adc9b13fbcccb1092e877db9e0f617f3b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01601",
    "kind": "arxiv",
    "version": 1
  }
}