Pith Number

pith:R26VEPQC

pith:2018:R26VEPQC6FQSSWOMGI7UXON6I3

not attested not anchored not stored refs pending

Cross-Gram Matrix associated to two sequences in Hilbert spaces

Asghar Rahimi, Elnaz Osgooei

arxiv:1805.03865 v1 · 2018-05-10 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R26VEPQC6FQSSWOMGI7UXON6I3}

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	2026-05-18T00:16:16.547480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ebd523e02f1612959cc323f4bb9be46da2b55381d6561edd576e2d05343a05a

Aliases

arxiv: 1805.03865 · arxiv_version: 1805.03865v1 · doi: 10.48550/arxiv.1805.03865 · pith_short_12: R26VEPQC6FQS · pith_short_16: R26VEPQC6FQSSWOM · pith_short_8: R26VEPQC

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/R26VEPQC6FQSSWOMGI7UXON6I3 \
  | 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: 8ebd523e02f1612959cc323f4bb9be46da2b55381d6561edd576e2d05343a05a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f2083351d74dcff82cb77c746983565130fc1054bdabfc455f6ff1e8b65ebe0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-05-10T07:36:50Z",
    "title_canon_sha256": "d11b3f4b6fbbb1f8e476d57e4d5b07c587c68cb2408d3dca686e2663cc1a2f11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.03865",
    "kind": "arxiv",
    "version": 1
  }
}