Pith Number

pith:GCKX67C7

pith:2015:GCKX67C74JSEQU5TWD6Y7VDM35

not attested not anchored not stored refs pending

On the Solution to a Countable System of Equations Arising in Stochastic Processes

Floske M. Spieksma, Laurens C. Smit, Michael N. Katehakis

arxiv:1510.05859 v1 · 2015-10-20 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCKX67C74JSEQU5TWD6Y7VDM35}

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	2026-05-18T01:29:39.516298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30957f7c5fe2644853b3b0fd8fd46cdf7d12f9001b5e1deff998bcdf6759a1e3

Aliases

arxiv: 1510.05859 · arxiv_version: 1510.05859v1 · doi: 10.48550/arxiv.1510.05859 · pith_short_12: GCKX67C74JSE · pith_short_16: GCKX67C74JSEQU5T · pith_short_8: GCKX67C7

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/GCKX67C74JSEQU5TWD6Y7VDM35 \
  | 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: 30957f7c5fe2644853b3b0fd8fd46cdf7d12f9001b5e1deff998bcdf6759a1e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbc7d01450d922ba139a0c413add49f93b4b4a4d21cd734e1a94a61e450c786d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-10-20T12:24:32Z",
    "title_canon_sha256": "0d322fc088f39c649d222928b53aab406af720384aa56dcc5a6ed763aa4c3709"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05859",
    "kind": "arxiv",
    "version": 1
  }
}