Pith Number

pith:IHEA3EVT

pith:2014:IHEA3EVTNZTRRHA6HLAU27RFND

not attested not anchored not stored refs pending

A Comment on the Book "Continuous-Time Markov Chains" by W.J. Anderson

Mu-Fa chen

arxiv:1412.5856 v3 · 2014-12-18 · 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{IHEA3EVTNZTRRHA6HLAU27RFND}

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	2026-05-18T02:29:01.126367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41c80d92b36e67189c1e3ac14d7e2568e60cfdf17b976f3522d6a351cfcbb6e0

Aliases

arxiv: 1412.5856 · arxiv_version: 1412.5856v3 · doi: 10.48550/arxiv.1412.5856 · pith_short_12: IHEA3EVTNZTR · pith_short_16: IHEA3EVTNZTRRHA6 · pith_short_8: IHEA3EVT

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/IHEA3EVTNZTRRHA6HLAU27RFND \
  | 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: 41c80d92b36e67189c1e3ac14d7e2568e60cfdf17b976f3522d6a351cfcbb6e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7ed809e554fe19a0ce47e9c939cdf1d681c9a61c434289e2571af1545ebf1ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-18T13:41:45Z",
    "title_canon_sha256": "5f1dd7fb9bc061ba0ad07e8aa9baf55594de46a3a7c7b17e14c09474ae1edb57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5856",
    "kind": "arxiv",
    "version": 3
  }
}