Pith Number

pith:5DRAT47F

pith:2015:5DRAT47FKHCOQQSVTO2WKI3LCE

not attested not anchored not stored refs pending

Relations on neutrosophic multi sets with properties

Florentin Smarandache, Irfan Deli, Said Broumi

arxiv:1506.04025 v1 · 2015-06-11 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5DRAT47FKHCOQQSVTO2WKI3LCE}

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	2026-05-18T01:51:18.513913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8e209f3e551c4e842559bb565236b113778b73e3fd5489fd9b2416c2fa19ab1

Aliases

arxiv: 1506.04025 · arxiv_version: 1506.04025v1 · doi: 10.48550/arxiv.1506.04025 · pith_short_12: 5DRAT47FKHCO · pith_short_16: 5DRAT47FKHCOQQSV · pith_short_8: 5DRAT47F

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/5DRAT47FKHCOQQSVTO2WKI3LCE \
  | 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: e8e209f3e551c4e842559bb565236b113778b73e3fd5489fd9b2416c2fa19ab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7e30f134963f2c2958360aaccc8d2193e81b9be25b36e3f4464797b3eac5d89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-06-11T08:46:14Z",
    "title_canon_sha256": "4ea2324ae588307b309f346d1e565a4e3a36cd0d893be5231121acac7ad77339"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04025",
    "kind": "arxiv",
    "version": 1
  }
}