Pith Number

pith:5W6XUOX2

pith:2017:5W6XUOX2ABSD6GB4SS6LFSABAO

not attested not anchored not stored refs pending

On some difficulties in the addition of trapezoidal ordered fuzzy numbers

Anna {\L}yczkowska-Han\'ckowiak, Krzysztof Piasecki

arxiv:1710.03541 v1 · 2017-10-10 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5W6XUOX2ABSD6GB4SS6LFSABAO}

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	2026-05-18T00:33:11.542593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edbd7a3afa00643f183c94bcb2c80103a47436376e411eeda68a06a6faeab654

Aliases

arxiv: 1710.03541 · arxiv_version: 1710.03541v1 · doi: 10.48550/arxiv.1710.03541 · pith_short_12: 5W6XUOX2ABSD · pith_short_16: 5W6XUOX2ABSD6GB4 · pith_short_8: 5W6XUOX2

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/5W6XUOX2ABSD6GB4SS6LFSABAO \
  | 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: edbd7a3afa00643f183c94bcb2c80103a47436376e411eeda68a06a6faeab654

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f20a3a7cece0739b820f92f966baf3ec9fa445bb7a95e097e61502d20f23eac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-10-10T12:45:21Z",
    "title_canon_sha256": "ae9b674d24187ed4f9c2e5e3ec347349c9387e4c222281a16b24c6a85b4ba25a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03541",
    "kind": "arxiv",
    "version": 1
  }
}