Pith Number

pith:CGYYCLTA

pith:2018:CGYYCLTARQDUHFW7UYV23OP62F

not attested not anchored not stored refs pending

A covariance equation

El Hassan Youssfi

arxiv:1810.09748 v1 · 2018-10-23 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGYYCLTARQDUHFW7UYV23OP62F}

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	2026-05-18T00:02:29.524384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11b1812e608c074396dfa62badb9fed16481d14353b511b32939dd8afaebc55c

Aliases

arxiv: 1810.09748 · arxiv_version: 1810.09748v1 · doi: 10.48550/arxiv.1810.09748 · pith_short_12: CGYYCLTARQDU · pith_short_16: CGYYCLTARQDUHFW7 · pith_short_8: CGYYCLTA

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/CGYYCLTARQDUHFW7UYV23OP62F \
  | 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: 11b1812e608c074396dfa62badb9fed16481d14353b511b32939dd8afaebc55c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaa9a830b55d77fe6912cb5c40350acc0155d95d810668896c7b291c69293827",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-10-23T09:48:02Z",
    "title_canon_sha256": "b0d713e6e7122244bd79ca2a43e7902d30cb9b1cc254a9674844d4183029cb3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.09748",
    "kind": "arxiv",
    "version": 1
  }
}