Pith Number

pith:SYRWT6C5

pith:2012:SYRWT6C5XR7QHP47WMJZSA3JEJ

not attested not anchored not stored refs pending

Revisit to the tail asymptotics of the double QBD process: Refinement and complete solutions for the coordinate and diagonal directions

Masahiro Kobayashi, Masakiyo Miyazawa

arxiv:1201.3167 v1 · 2012-01-16 · 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{SYRWT6C5XR7QHP47WMJZSA3JEJ}

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	2026-05-18T04:04:32.027535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

962369f85dbc7f03bf9fb313990369224eb2ccdd06abe2057927d0668d7592de

Aliases

arxiv: 1201.3167 · arxiv_version: 1201.3167v1 · doi: 10.48550/arxiv.1201.3167 · pith_short_12: SYRWT6C5XR7Q · pith_short_16: SYRWT6C5XR7QHP47 · pith_short_8: SYRWT6C5

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/SYRWT6C5XR7QHP47WMJZSA3JEJ \
  | 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: 962369f85dbc7f03bf9fb313990369224eb2ccdd06abe2057927d0668d7592de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5b9fba467bf6fe05bcc62a5571f03521d7a83e3f1091d80fd32ba4dfdeb102f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-16T07:22:51Z",
    "title_canon_sha256": "906478758f1b96da7ba0dc5ff78d75abfc3b73aa62b21211285124d6a3dab6f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3167",
    "kind": "arxiv",
    "version": 1
  }
}