Pith Number

pith:O75GYOA6

pith:2012:O75GYOA6NCSDLUYOHXLAPTGSU6

not attested not anchored not stored refs pending

Reversibility in Queueing Models

Masakiyo Miyazawa

arxiv:1212.0398 v3 · 2012-12-03 · 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{O75GYOA6NCSDLUYOHXLAPTGSU6}

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	2026-05-18T03:27:01.313829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77fa6c381e68a435d30e3dd607ccd2a7a907b97d2cbdcbd656ccf67f0d4bfb2c

Aliases

arxiv: 1212.0398 · arxiv_version: 1212.0398v3 · doi: 10.48550/arxiv.1212.0398 · pith_short_12: O75GYOA6NCSD · pith_short_16: O75GYOA6NCSDLUYO · pith_short_8: O75GYOA6

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/O75GYOA6NCSDLUYOHXLAPTGSU6 \
  | 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: 77fa6c381e68a435d30e3dd607ccd2a7a907b97d2cbdcbd656ccf67f0d4bfb2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa225e41bc620688bfbe9d1ce5d475482134404fbbbd50ab5a34cf7498ea8f0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-03T14:17:51Z",
    "title_canon_sha256": "c95be745434b236af2f9539135954f7618adae01ea661d6ff900d7b722090cdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0398",
    "kind": "arxiv",
    "version": 3
  }
}