Pith Number

pith:MQHRBMXX

pith:2018:MQHRBMXXFIDKOVGAKWRKFMFEE6

not attested not anchored not stored refs pending

A General Formula for the Stationary Distribution of the Age of Information and Its Application to Single-Server Queues

Hiroyuki Masuyama, Tetsuya Takine, Toshiyuki Tanaka, Yoshiaki Inoue

arxiv:1804.06139 v2 · 2018-04-17 · cs.PF · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MQHRBMXXFIDKOVGAKWRKFMFEE6}

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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.

Cited by

1 paper in Pith

Trading Off Computation with Transmission in Status Update Systems

Receipt and verification

First computed	2026-07-05T00:25:52.878111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

640f10b2f72a06a754c055a2a2b0a427add41cd70d6f3a845379230fcf803553

Aliases

arxiv: 1804.06139 · arxiv_version: 1804.06139v2 · doi: 10.48550/arxiv.1804.06139 · pith_short_12: MQHRBMXXFIDK · pith_short_16: MQHRBMXXFIDKOVGA · pith_short_8: MQHRBMXX

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/MQHRBMXXFIDKOVGAKWRKFMFEE6 \
  | 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: 640f10b2f72a06a754c055a2a2b0a427add41cd70d6f3a845379230fcf803553

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc551f2e1abe7f673fcc5da4902e891f887b3d785cea1a1dbbc850f1ec740399",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.PF",
    "submitted_at": "2018-04-17T09:52:54Z",
    "title_canon_sha256": "f085107c48035b9765d29e8ee2375ea30c5214a486f7b9834ded22e312d985e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06139",
    "kind": "arxiv",
    "version": 2
  }
}