Pith Number

pith:QBJ5YO4B

pith:2016:QBJ5YO4BP3SC4JKSYCEMJ527PH

not attested not anchored not stored refs pending

Distance, entropy and similarity measures of Type-2 soft sets

P. Majumdar, Rajashi Chatterjee, S. K. Samanta

arxiv:1612.06603 v1 · 2016-12-20 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QBJ5YO4BP3SC4JKSYCEMJ527PH}

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	2026-05-18T00:54:25.256695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8053dc3b817ee42e2552c088c4f75f79dc400b9ab029acc83860fa0af207bbd1

Aliases

arxiv: 1612.06603 · arxiv_version: 1612.06603v1 · doi: 10.48550/arxiv.1612.06603 · pith_short_12: QBJ5YO4BP3SC · pith_short_16: QBJ5YO4BP3SC4JKS · pith_short_8: QBJ5YO4B

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/QBJ5YO4BP3SC4JKSYCEMJ527PH \
  | 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: 8053dc3b817ee42e2552c088c4f75f79dc400b9ab029acc83860fa0af207bbd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3afd71c543aeaac7da5e42432ed56b6d973b03a40a7658c285ac3a3601c6c8fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2016-12-20T10:57:06Z",
    "title_canon_sha256": "fd3b3dca4b4ddab36ed29c04a61b1f630b0c8a30d7b830d2ed997acefbeddadd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06603",
    "kind": "arxiv",
    "version": 1
  }
}