Pith Number

pith:QKNBNMGP

pith:2012:QKNBNMGPT2DUTO5ADIS5GRPIPN

not attested not anchored not stored refs pending

Unbiased estimates for gradients of stochastic network performance measures

Nikolai Krivulin

arxiv:1210.5418 v1 · 2012-10-19 · math.OC · stat.AP · stat.CO · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKNBNMGPT2DUTO5ADIS5GRPIPN}

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	2026-05-18T03:42:33.510764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

829a16b0cf9e8749bba01a25d345e87b72fa7514b5340742beccb0f4e247184e

Aliases

arxiv: 1210.5418 · arxiv_version: 1210.5418v1 · doi: 10.48550/arxiv.1210.5418 · pith_short_12: QKNBNMGPT2DU · pith_short_16: QKNBNMGPT2DUTO5A · pith_short_8: QKNBNMGP

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/QKNBNMGPT2DUTO5ADIS5GRPIPN \
  | 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: 829a16b0cf9e8749bba01a25d345e87b72fa7514b5340742beccb0f4e247184e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b913f9b67c1a9f0ef5b009259254da9b368096d3258cb0a268af46755986a85f",
    "cross_cats_sorted": [
      "stat.AP",
      "stat.CO",
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-10-19T13:38:06Z",
    "title_canon_sha256": "1ec7a88b2c5aa5c073db174f73986c079c8772c5833743238978f2d20c758230"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5418",
    "kind": "arxiv",
    "version": 1
  }
}