Pith Number

pith:KYCGULPR

pith:2018:KYCGULPRWWUKLBKPX2I2NIEI5T

not attested not anchored not stored refs pending

Discrete Operators associated with Linking Operators

Fadel Nasaireh, Ioan Ra\c{s}a, Margareta Heilmann

arxiv:1808.07239 v1 · 2018-08-22 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KYCGULPRWWUKLBKPX2I2NIEI5T}

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	2026-05-18T00:07:29.482391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56046a2df1b5a8a5854fbe91a6a088ecd02e3d8e1fe39a242dd953666e4b3bf1

Aliases

arxiv: 1808.07239 · arxiv_version: 1808.07239v1 · doi: 10.48550/arxiv.1808.07239 · pith_short_12: KYCGULPRWWUK · pith_short_16: KYCGULPRWWUKLBKP · pith_short_8: KYCGULPR

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/KYCGULPRWWUKLBKPX2I2NIEI5T \
  | 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: 56046a2df1b5a8a5854fbe91a6a088ecd02e3d8e1fe39a242dd953666e4b3bf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64e2acafc95e5b9638a42169c2a83e86cd7d18be7ca2dbef156e6d36f2024f3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-08-22T06:33:43Z",
    "title_canon_sha256": "bd6296a0c8335680c2dd378a75416612e0b863ccb4b8000db92c51fb6f8ffe5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07239",
    "kind": "arxiv",
    "version": 1
  }
}