Pith Number

pith:R4IRCYOZ

pith:2012:R4IRCYOZ3Y2EQBCUWYG33HGOTG

not attested not anchored not stored refs pending

On fuzzy weakly-closed sets

J. Mahanta, P. K. Das

arxiv:1208.0494 v1 · 2012-07-31 · 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{R4IRCYOZ3Y2EQBCUWYG33HGOTG}

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	2026-05-18T01:55:23.810834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f111161d9de34480454b60dbd9cce99b0562dabed331d7d5bc4406a3c8d36ff

Aliases

arxiv: 1208.0494 · arxiv_version: 1208.0494v1 · doi: 10.48550/arxiv.1208.0494 · pith_short_12: R4IRCYOZ3Y2E · pith_short_16: R4IRCYOZ3Y2EQBCU · pith_short_8: R4IRCYOZ

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/R4IRCYOZ3Y2EQBCUWYG33HGOTG \
  | 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: 8f111161d9de34480454b60dbd9cce99b0562dabed331d7d5bc4406a3c8d36ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "493178d8925abcb2b312e127bba55843b975805eedbce1c8a147aabe02379f71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2012-07-31T09:20:54Z",
    "title_canon_sha256": "7e7ada30d5afa42756bb95c0a661165e69b3e6d56dd74d03367e9e6071897ada"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0494",
    "kind": "arxiv",
    "version": 1
  }
}