Pith Number

pith:6INVDP6J

pith:2013:6INVDP6J6KROAXTUW5H4CECJK6

not attested not anchored not stored refs pending

Constructing Strong Markov Processes

Robert J. Vanderbei

arxiv:1303.2670 v1 · 2013-03-11 · 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{6INVDP6J6KROAXTUW5H4CECJK6}

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	2026-05-18T03:31:08.453465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f21b51bfc9f2a2e05e74b74fc1104957a03b1c098320ac1d89f4e9eec8e68528

Aliases

arxiv: 1303.2670 · arxiv_version: 1303.2670v1 · doi: 10.48550/arxiv.1303.2670 · pith_short_12: 6INVDP6J6KRO · pith_short_16: 6INVDP6J6KROAXTU · pith_short_8: 6INVDP6J

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/6INVDP6J6KROAXTUW5H4CECJK6 \
  | 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: f21b51bfc9f2a2e05e74b74fc1104957a03b1c098320ac1d89f4e9eec8e68528

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbe02499f0aac617985182938e011c77cb4b9e6c82371945a6bb312f13a3e169",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-11T20:16:52Z",
    "title_canon_sha256": "f9db8a84821ab8e4bf234fd713c80538276dce85080434c14804a9b3ea21781c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2670",
    "kind": "arxiv",
    "version": 1
  }
}