Pith Number

pith:4IJEW4RC

pith:2013:4IJEW4RCHKZMQCPXOJN24K45FQ

not attested not anchored not stored refs pending

On Bipolar Soft Sets

Muhammad Shabir, Munazza Naz

arxiv:1303.1344 v1 · 2013-03-06 · 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{4IJEW4RCHKZMQCPXOJN24K45FQ}

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	2026-05-18T03:31:43.792271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2124b72223ab2c809f7725bae2b9d2c035ece4857bcc8498abbf05cded8ff77

Aliases

arxiv: 1303.1344 · arxiv_version: 1303.1344v1 · doi: 10.48550/arxiv.1303.1344 · pith_short_12: 4IJEW4RCHKZM · pith_short_16: 4IJEW4RCHKZMQCPX · pith_short_8: 4IJEW4RC

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/4IJEW4RCHKZMQCPXOJN24K45FQ \
  | 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: e2124b72223ab2c809f7725bae2b9d2c035ece4857bcc8498abbf05cded8ff77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9dbe0d2deb41aba68c30bbf2d3f2d3209d36f641776f5fada4f90542af5916f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-03-06T14:59:48Z",
    "title_canon_sha256": "75c3f179f1435b22e4ada66f7887898bff00fd897f5522d7c35a10be628a575b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1344",
    "kind": "arxiv",
    "version": 1
  }
}