Pith Number

pith:746T3UDU

pith:2014:746T3UDUR7LJOGHDQ4YB2VII5B

not attested not anchored not stored refs pending

Exact Solutions for M/M/c/Setup Queues

Tuan Phung-Duc

arxiv:1406.3084 v4 · 2014-06-12 · cs.PF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{746T3UDUR7LJOGHDQ4YB2VII5B}

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	2026-05-18T01:20:17.737687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff3d3dd0748fd69718e387301d5508e847a7fc2f72ea1eeced32762fe6bf7e68

Aliases

arxiv: 1406.3084 · arxiv_version: 1406.3084v4 · doi: 10.48550/arxiv.1406.3084 · pith_short_12: 746T3UDUR7LJ · pith_short_16: 746T3UDUR7LJOGHD · pith_short_8: 746T3UDU

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/746T3UDUR7LJOGHDQ4YB2VII5B \
  | 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: ff3d3dd0748fd69718e387301d5508e847a7fc2f72ea1eeced32762fe6bf7e68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0fe206e3bef2a83baafdca3e14baf100e3c077d0546b24e18e68befc1e3446f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.PF",
    "submitted_at": "2014-06-12T00:01:54Z",
    "title_canon_sha256": "c5b9a4226ea7a19936bbf5029b0658a0c8e15ac04429733fb914dd7b912504bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3084",
    "kind": "arxiv",
    "version": 4
  }
}