Pith Number

pith:FX4CRHIV

pith:2017:FX4CRHIVBDKS75RWRAS6WAP5E6

not attested not anchored not stored refs pending

$\ast$-g-frames in tensor products of hilbert $C^{\ast}$-modules

Mohamed Rossafi, Samir Kabbaj

arxiv:1712.00806 v1 · 2017-12-03 · math.OA · 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{FX4CRHIVBDKS75RWRAS6WAP5E6}

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	2026-05-18T00:18:31.237540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2df8289d1508d52ff6368825eb01fd27ae2afe6b97b4794d09d45c45d03dd13f

Aliases

arxiv: 1712.00806 · arxiv_version: 1712.00806v1 · doi: 10.48550/arxiv.1712.00806 · pith_short_12: FX4CRHIVBDKS · pith_short_16: FX4CRHIVBDKS75RW · pith_short_8: FX4CRHIV

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/FX4CRHIVBDKS75RWRAS6WAP5E6 \
  | 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: 2df8289d1508d52ff6368825eb01fd27ae2afe6b97b4794d09d45c45d03dd13f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ae83c4f92830322da04f036f7fddc050ef46b7a27e7f862bd8e2c2caa8e51a9",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-12-03T18:10:28Z",
    "title_canon_sha256": "b3c76a7f904c293a43e6118d7b0248e77e48c1f0866c1a41ef14f8ba494bc54e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00806",
    "kind": "arxiv",
    "version": 1
  }
}