Pith Number

pith:KXPPRV5J

pith:2020:KXPPRV5JGWREGEZUSKK6UK6TZF

not attested not anchored not stored refs pending

Continuous Fuzzy Transform as Integral Operator

Giuseppe Patan\`e

arxiv:2007.13601 v1 · 2020-07-27 · math.OC · cs.DM · cs.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KXPPRV5JGWREGEZUSKK6UK6TZF}

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	2026-07-05T01:22:25.981678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55def8d7a935a24313349295ea2bd3c972915bd57a05688f072952be460313ae

Aliases

arxiv: 2007.13601 · arxiv_version: 2007.13601v1 · doi: 10.48550/arxiv.2007.13601 · pith_short_12: KXPPRV5JGWRE · pith_short_16: KXPPRV5JGWREGEZU · pith_short_8: KXPPRV5J

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/KXPPRV5JGWREGEZUSKK6UK6TZF \
  | 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: 55def8d7a935a24313349295ea2bd3c972915bd57a05688f072952be460313ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e455bf2640e9553d62013a35eeedaf07063609c88c0dd046ece68d2270c9ce7",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-07-27T14:34:12Z",
    "title_canon_sha256": "8b4e1aeb2cf17717b2a8ccdacb9c8fd2aaf39016f3900d758c48b1567b13c16c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.13601",
    "kind": "arxiv",
    "version": 1
  }
}