Pith Number

pith:I7TDWDO5

pith:2025:I7TDWDO5JEO5MUJ5Z26P4NGMRW

not attested not anchored not stored refs pending

Exact distribution of discrete-time D-BMAP/G/\inf queueing model

Tonglin Liao, Youming Li

arxiv:2505.23178 v1 · 2025-05-29 · 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{I7TDWDO5JEO5MUJ5Z26P4NGMRW}

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	2026-07-05T11:11:56.957486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47e63b0ddd491dd6513dcebcfe34cc8d8aa7e7b96409c302e2f922d59c75bc58

Aliases

arxiv: 2505.23178 · arxiv_version: 2505.23178v1 · doi: 10.48550/arxiv.2505.23178 · pith_short_12: I7TDWDO5JEO5 · pith_short_16: I7TDWDO5JEO5MUJ5 · pith_short_8: I7TDWDO5

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/I7TDWDO5JEO5MUJ5Z26P4NGMRW \
  | 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: 47e63b0ddd491dd6513dcebcfe34cc8d8aa7e7b96409c302e2f922d59c75bc58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "896bac6d181402959e4bd68982d00253cffeef77cdaae9b9277c363dd068f989",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-05-29T07:15:28Z",
    "title_canon_sha256": "1f4b8f27ca50f8711ab89c1275c4777a03930f5d3727182e013e3c38f18190c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.23178",
    "kind": "arxiv",
    "version": 1
  }
}