Pith Number

pith:NHAR5ZLI

pith:2012:NHAR5ZLITTMU2LU2L4PEQLKXOH

not attested not anchored not stored refs pending

A large-scale service system with packing constraints: Minimizing the number of occupied servers

Alexander L. Stolyar, Yuan Zhong

arxiv:1212.0875 v1 · 2012-12-04 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NHAR5ZLITTMU2LU2L4PEQLKXOH}

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	2026-05-18T03:39:14.209682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69c11ee5689cd94d2e9a5f1e482d5771e467debf8396f467e6f24fcf44936d34

Aliases

arxiv: 1212.0875 · arxiv_version: 1212.0875v1 · doi: 10.48550/arxiv.1212.0875 · pith_short_12: NHAR5ZLITTMU · pith_short_16: NHAR5ZLITTMU2LU2 · pith_short_8: NHAR5ZLI

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/NHAR5ZLITTMU2LU2L4PEQLKXOH \
  | 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: 69c11ee5689cd94d2e9a5f1e482d5771e467debf8396f467e6f24fcf44936d34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d9190b48e869e284618d7a11f83e2d97138a7f243eb46b77ed76534c1e81e86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-12-04T21:17:24Z",
    "title_canon_sha256": "2b0fa703f8890acdcf185a139250cbffb86cc9abd868454f2e05eec1a4ecba7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0875",
    "kind": "arxiv",
    "version": 1
  }
}