Pith Number

pith:F64C3FBP

pith:2015:F64C3FBPXKLGPTFAACNSOXXD2H

not attested not anchored not stored refs pending

Some properties of operator-valued frames

L. Gavruta, P. Gavruta

arxiv:1504.06504 v1 · 2015-04-24 · 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{F64C3FBPXKLGPTFAACNSOXXD2H}

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	2026-05-18T02:17:53.449115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fb82d942fba9667cca0009b275ee3d1d894b622fdccb987ecf66e68a5df6848

Aliases

arxiv: 1504.06504 · arxiv_version: 1504.06504v1 · doi: 10.48550/arxiv.1504.06504 · pith_short_12: F64C3FBPXKLG · pith_short_16: F64C3FBPXKLGPTFA · pith_short_8: F64C3FBP

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/F64C3FBPXKLGPTFAACNSOXXD2H \
  | 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: 2fb82d942fba9667cca0009b275ee3d1d894b622fdccb987ecf66e68a5df6848

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d442ef59ca677801af2ba3b44acef8805580b257e663db3433c921cc6ed8f0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-04-24T13:40:25Z",
    "title_canon_sha256": "dfb80eb63db8eb99515949504cdcdda296417a36b1c7091af97a011447aa41d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06504",
    "kind": "arxiv",
    "version": 1
  }
}