Pith Number

pith:ETMJZ4UM

pith:2013:ETMJZ4UMBVWUJZV2PPMMSZX66U

not attested not anchored not stored refs pending

Piecewise linear approximations of the standard normal first order loss function

Brahim Hnich, Roberto Rossi, S. Armagan Tarim, Steven Prestwich

arxiv:1307.1708 v4 · 2013-07-05 · math.OC · 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{ETMJZ4UMBVWUJZV2PPMMSZX66U}

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	2026-05-18T02:43:24.368881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24d89cf28c0d6d44e6ba7bd8c966fef50a65d8428c72bbc17f2765c522f3f312

Aliases

arxiv: 1307.1708 · arxiv_version: 1307.1708v4 · doi: 10.48550/arxiv.1307.1708 · pith_short_12: ETMJZ4UMBVWU · pith_short_16: ETMJZ4UMBVWUJZV2 · pith_short_8: ETMJZ4UM

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/ETMJZ4UMBVWUJZV2PPMMSZX66U \
  | 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: 24d89cf28c0d6d44e6ba7bd8c966fef50a65d8428c72bbc17f2765c522f3f312

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ce40d4857a16c864cb36729233f113303cde3a9c6091c9522d52558df914593",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-07-05T20:02:42Z",
    "title_canon_sha256": "0355f864885452514d3090145fa83391582d678fbf456ea25c9c00c4a57eaa5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1708",
    "kind": "arxiv",
    "version": 4
  }
}