Pith Number

pith:EROL7BUA

pith:2017:EROL7BUA7DXLTLJHCBY2BJPDNI

not attested not anchored not stored refs pending

On the Minimization of Convex Functionals of Probability Distributions Under Band Constraints

Abdelhak M. Zoubir, Michael Fauss

arxiv:1703.06128 v3 · 2017-03-17 · 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{EROL7BUA7DXLTLJHCBY2BJPDNI}

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	2026-05-17T23:59:18.131047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

245cbf8680f8eeb9ad271071a0a5e36a1af93e9eb364c697f2bf9366e45c5bef

Aliases

arxiv: 1703.06128 · arxiv_version: 1703.06128v3 · doi: 10.48550/arxiv.1703.06128 · pith_short_12: EROL7BUA7DXL · pith_short_16: EROL7BUA7DXLTLJH · pith_short_8: EROL7BUA

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/EROL7BUA7DXLTLJHCBY2BJPDNI \
  | 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: 245cbf8680f8eeb9ad271071a0a5e36a1af93e9eb364c697f2bf9366e45c5bef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fac3f1eb4f11bd8a8b394912baa41d1b86d8786ee1102eb960f569e9601f121",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-03-17T17:45:21Z",
    "title_canon_sha256": "182fd8e84e7fbdc5bb2908150993bcc5127ea73e984091ed5f8be4e943f004a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06128",
    "kind": "arxiv",
    "version": 3
  }
}