Pith Number

pith:P4MDDTOO

pith:2018:P4MDDTOOBRIHMSUVHDDUDIOZJH

not attested not anchored not stored refs pending

Some results of $K$-frames and their multipliers

Ali Akbar Arefijamaal, Mitra Shamsabadi

arxiv:1807.08200 v1 · 2018-07-21 · 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{P4MDDTOOBRIHMSUVHDDUDIOZJH}

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	2026-05-18T00:10:08.946030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f1831cdce0c50764a9538c741a1d949cc2af516e31b9617619ef0da1da16393

Aliases

arxiv: 1807.08200 · arxiv_version: 1807.08200v1 · doi: 10.48550/arxiv.1807.08200 · pith_short_12: P4MDDTOOBRIH · pith_short_16: P4MDDTOOBRIHMSUV · pith_short_8: P4MDDTOO

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/P4MDDTOOBRIHMSUVHDDUDIOZJH \
  | 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: 7f1831cdce0c50764a9538c741a1d949cc2af516e31b9617619ef0da1da16393

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20c753df35c241faa134ab8ca527afa06f854e0540d9ed0c7784568afad3c401",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-07-21T20:07:53Z",
    "title_canon_sha256": "2fa40c19354ffdaa60b41963fcefe1edb9b33c986a6784c92cedbdc5cd3ffe05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08200",
    "kind": "arxiv",
    "version": 1
  }
}