Pith Number

pith:B5JOPCVI

pith:2013:B5JOPCVIXI5DGKPI2ACNWZZJ3Y

not attested not anchored not stored refs pending

On a functional equation appearing in characterization of distributions by the optimality of an estimate

G. Feldman, P. Graczyk

arxiv:1309.6770 v1 · 2013-09-26 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B5JOPCVIXI5DGKPI2ACNWZZJ3Y}

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	2026-05-18T03:12:10.584185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f52e78aa8ba3a3329e8d004db6729de2dcd4da46c115f2dade0ba22e6130629

Aliases

arxiv: 1309.6770 · arxiv_version: 1309.6770v1 · doi: 10.48550/arxiv.1309.6770 · pith_short_12: B5JOPCVIXI5D · pith_short_16: B5JOPCVIXI5DGKPI · pith_short_8: B5JOPCVI

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/B5JOPCVIXI5DGKPI2ACNWZZJ3Y \
  | 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: 0f52e78aa8ba3a3329e8d004db6729de2dcd4da46c115f2dade0ba22e6130629

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8380b9e31e4e0877c0da268a20c95a56bb96d75229d104624e42b2005215b289",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-26T09:27:15Z",
    "title_canon_sha256": "58537bd06c25c3994086617de315dea26366fe21df2bc81527b6eb8da8418266"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6770",
    "kind": "arxiv",
    "version": 1
  }
}