Pith Number

pith:7M2KRQTD

pith:2017:7M2KRQTDX3QZ3YX7B2KQEJSZG6

not attested not anchored not stored refs pending

Optimal properties of the canonical tight probabilistic frame

Desai Cheng, Kasso A. Okoudjou

arxiv:1705.03437 v1 · 2017-05-09 · math.CA · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7M2KRQTDX3QZ3YX7B2KQEJSZG6}

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	2026-05-18T00:44:47.846514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb34a8c263bee19de2ff0e9502265937a2099522c523ed0a98e2942a742846f7

Aliases

arxiv: 1705.03437 · arxiv_version: 1705.03437v1 · doi: 10.48550/arxiv.1705.03437 · pith_short_12: 7M2KRQTDX3QZ · pith_short_16: 7M2KRQTDX3QZ3YX7 · pith_short_8: 7M2KRQTD

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/7M2KRQTDX3QZ3YX7B2KQEJSZG6 \
  | 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: fb34a8c263bee19de2ff0e9502265937a2099522c523ed0a98e2942a742846f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44e325d5d0a8cf3f416581ecfd1ccb6de5b2d66ca1419203ed358ff6f9b6c0e7",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-05-09T17:24:07Z",
    "title_canon_sha256": "75c026d911a38a6f10f0785037bf490e9cdd94c0193a758e620649d70d1a599e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03437",
    "kind": "arxiv",
    "version": 1
  }
}