Pith Number

pith:WNEC2L4K

pith:2015:WNEC2L4KL7JJ53IK6JI4LT3HW2

not attested not anchored not stored refs pending

Optimality gaps in asymptotic dimensioning of many-server systems

A.J.E.M. Janssen, Jaron Sanders, J.S.H. van Leeuwaarden, S.C. Borst

arxiv:1511.01798 v1 · 2015-11-05 · 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{WNEC2L4KL7JJ53IK6JI4LT3HW2}

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	2026-05-18T01:27:39.777540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3482d2f8a5fd29eed0af251c5cf67b6b468af4b0bd1be01768287f0ce8611e9

Aliases

arxiv: 1511.01798 · arxiv_version: 1511.01798v1 · doi: 10.48550/arxiv.1511.01798 · pith_short_12: WNEC2L4KL7JJ · pith_short_16: WNEC2L4KL7JJ53IK · pith_short_8: WNEC2L4K

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/WNEC2L4KL7JJ53IK6JI4LT3HW2 \
  | 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: b3482d2f8a5fd29eed0af251c5cf67b6b468af4b0bd1be01768287f0ce8611e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f3912049a41d588aa7a5abf49e01b7d319fc9f4acdf6a690f88036814d8b36b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-11-05T16:00:52Z",
    "title_canon_sha256": "18de6c29d46af0e01f443183e43d6a0c8f249cc34269fc1c3e4141ba11c84467"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01798",
    "kind": "arxiv",
    "version": 1
  }
}