Pith Number

pith:5CQIQ6RS

pith:2013:5CQIQ6RSYNFLGPX4OAHNYCTWER

not attested not anchored not stored refs pending

Structure-reversibility of a two dimensional reflecting random walk and its application to queueing network

Hiroshi Shimizu, Masahiro Kobayashi, Masakiyo Miyazawa

arxiv:1312.2746 v3 · 2013-12-10 · 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{5CQIQ6RSYNFLGPX4OAHNYCTWER}

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	2026-05-17T23:53:35.180721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8a0887a32c34ab33efc700edc0a76246031ab6584cc0e6ca7c4020a7c60769e

Aliases

arxiv: 1312.2746 · arxiv_version: 1312.2746v3 · doi: 10.48550/arxiv.1312.2746 · pith_short_12: 5CQIQ6RSYNFL · pith_short_16: 5CQIQ6RSYNFLGPX4 · pith_short_8: 5CQIQ6RS

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/5CQIQ6RSYNFLGPX4OAHNYCTWER \
  | 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: e8a0887a32c34ab33efc700edc0a76246031ab6584cc0e6ca7c4020a7c60769e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68d5c3f9b3a98e7cd4edbc78ad6385b943d8ece77c29b81fea6e448f8391a711",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-10T10:25:47Z",
    "title_canon_sha256": "0f009db8e2ab24603b82c31fbd5ca5781bad7dff6e14fa87b39069bf5d36a967"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2746",
    "kind": "arxiv",
    "version": 3
  }
}