Pith Number

pith:NCV5N6RN

pith:2013:NCV5N6RNWSVHYUZILNIXEJXG37

not attested not anchored not stored refs pending

(G,\mu)- Quadratic Stochastic Operators

J. Blath, M.Scheutzow, U.U. Jamilov

arxiv:1307.1265 v1 · 2013-07-04 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCV5N6RNWSVHYUZILNIXEJXG37}

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	2026-05-18T03:19:14.241141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68abd6fa2db4aa7c53285b517226e6dfc8b2b46d2142f18b28706aebb7a98bcb

Aliases

arxiv: 1307.1265 · arxiv_version: 1307.1265v1 · doi: 10.48550/arxiv.1307.1265 · pith_short_12: NCV5N6RNWSVH · pith_short_16: NCV5N6RNWSVHYUZI · pith_short_8: NCV5N6RN

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/NCV5N6RNWSVHYUZILNIXEJXG37 \
  | 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: 68abd6fa2db4aa7c53285b517226e6dfc8b2b46d2142f18b28706aebb7a98bcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87e111b25aed6ccc41d6f91cb576ee3420eb062caba043a90479bd09e7518d6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-07-04T10:38:47Z",
    "title_canon_sha256": "5b9f34b8d6d1f1a983aa8468e0d723532cb6e525ed544fbf48e630fae62ff27a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1265",
    "kind": "arxiv",
    "version": 1
  }
}