pith. sign in
Pith Number

pith:4FRZLQS7

pith:2013:4FRZLQS7GRGOSI2TFNH6V2HLYK
not attested not anchored not stored refs pending

Arithmetic of fuzzy numbers and intervals -- a new perspective with examples

Jan Schneider

arxiv:1310.5604 v2 · 2013-10-16 · math.GM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4FRZLQS7GRGOSI2TFNH6V2HLYK}

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 2026-05-18T01:01:09.047375Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e16395c25f344ce923532b4feae8ebc28fbd6ba24e129989a8c32f98e6df1672

Aliases

arxiv: 1310.5604 · arxiv_version: 1310.5604v2 · doi: 10.48550/arxiv.1310.5604 · pith_short_12: 4FRZLQS7GRGO · pith_short_16: 4FRZLQS7GRGOSI2T · pith_short_8: 4FRZLQS7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4FRZLQS7GRGOSI2TFNH6V2HLYK \
  | 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: e16395c25f344ce923532b4feae8ebc28fbd6ba24e129989a8c32f98e6df1672
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4633ea062fbf698ab0783f8ddac24a0ace05728b2313656b5fc88444a42cde11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2013-10-16T13:32:50Z",
    "title_canon_sha256": "14814945dda418c64d31be908533ce40557f9f74820c5c5e2b38f6aa26cf9b20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5604",
    "kind": "arxiv",
    "version": 2
  }
}