Pith Number

pith:KU5JU6ON

pith:2015:KU5JU6ONR435A7NWOK2FQQN7XT

not attested not anchored not stored refs pending

Transfer Operators, Induced Probability Spaces, and Random Walk Models

Feng Tian, Palle Jorgensen

arxiv:1510.05573 v1 · 2015-10-19 · 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{KU5JU6ONR435A7NWOK2FQQN7XT}

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	2026-05-18T01:29:52.000307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

553a9a79cd8f37d07db672b45841bfbcf9303a4718b066810ee6a1e26c3cf6be

Aliases

arxiv: 1510.05573 · arxiv_version: 1510.05573v1 · doi: 10.48550/arxiv.1510.05573 · pith_short_12: KU5JU6ONR435 · pith_short_16: KU5JU6ONR435A7NW · pith_short_8: KU5JU6ON

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/KU5JU6ONR435A7NWOK2FQQN7XT \
  | 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: 553a9a79cd8f37d07db672b45841bfbcf9303a4718b066810ee6a1e26c3cf6be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0746fa16fffdf0c5e6c426f583b7fbd773177be18ae603efb53a3eecebf8e982",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-10-19T16:33:21Z",
    "title_canon_sha256": "2051d358a1f58979ba13f3517cdcb4af0f912107c2ab52265ca0dfd9660d2629"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05573",
    "kind": "arxiv",
    "version": 1
  }
}