Pith Number

pith:NBSSTUJM

pith:2016:NBSSTUJMNZX63XOVFTORTJBGBU

not attested not anchored not stored refs pending

Uniqueness of fixed points of $ b$-bistochastic quadratic stochastic operators and associated nonhomogenous Markov chains

Ahmad Fadillah Embong, Farrukh Mukhamedov

arxiv:1601.04297 v1 · 2016-01-17 · math.DS · 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{NBSSTUJMNZX63XOVFTORTJBGBU}

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	2026-05-18T00:38:11.645775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

686529d12c6e6fedddd52cdd19a4260d28a1547cdfd9104e513fc907d8c88537

Aliases

arxiv: 1601.04297 · arxiv_version: 1601.04297v1 · doi: 10.48550/arxiv.1601.04297 · pith_short_12: NBSSTUJMNZX6 · pith_short_16: NBSSTUJMNZX63XOV · pith_short_8: NBSSTUJM

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/NBSSTUJMNZX63XOVFTORTJBGBU \
  | 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: 686529d12c6e6fedddd52cdd19a4260d28a1547cdfd9104e513fc907d8c88537

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "437611f772d50750a0dff4827fe49cf6d535aad07244026dbe83a700fd936256",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-01-17T13:59:08Z",
    "title_canon_sha256": "6d46c85c317354919ff65c965b371531043848d65abef442956c8afd456fcb07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04297",
    "kind": "arxiv",
    "version": 1
  }
}