Pith Number

pith:MDG3HBDR

pith:2014:MDG3HBDRM7Y2URHXZEVS6VOSTK

not attested not anchored not stored refs pending

The Perron-Frobenius Theorem for Markov Semigroups

Omar Hijab

arxiv:1401.5892 v1 · 2014-01-23 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDG3HBDRM7Y2URHXZEVS6VOSTK}

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	2026-05-18T03:01:23.467532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60cdb3847167f1aa44f7c92b2f55d29ab89708277f1fd18aafc308a996509212

Aliases

arxiv: 1401.5892 · arxiv_version: 1401.5892v1 · doi: 10.48550/arxiv.1401.5892 · pith_short_12: MDG3HBDRM7Y2 · pith_short_16: MDG3HBDRM7Y2URHX · pith_short_8: MDG3HBDR

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/MDG3HBDRM7Y2URHXZEVS6VOSTK \
  | 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: 60cdb3847167f1aa44f7c92b2f55d29ab89708277f1fd18aafc308a996509212

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d45f76f4b7ca3916f343cace50e08cf1867aa5cfd36c8789a9a63d124a2b421",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-01-23T08:42:02Z",
    "title_canon_sha256": "28c08b0760619a9afa77e6f6fea0fd13ac27ea888d2ae788fb81c25d6041fe9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5892",
    "kind": "arxiv",
    "version": 1
  }
}