Pith Number

pith:KFELHA5X

pith:2012:KFELHA5XR5MM2H6HMII5FH4MHH

not attested not anchored not stored refs pending

Ergodicity criteria for non-expanding transformations of 2-adic spheres

Andrei Khrennikov, Ekaterina Yurova, Vladimir Anashin

arxiv:1205.0615 v1 · 2012-05-03 · 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{KFELHA5XR5MM2H6HMII5FH4MHH}

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	2026-05-18T02:57:24.316802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5148b383b78f58cd1fc76211d29f8c39eabcf8e5280e65df1b0cb30f23ece070

Aliases

arxiv: 1205.0615 · arxiv_version: 1205.0615v1 · doi: 10.48550/arxiv.1205.0615 · pith_short_12: KFELHA5XR5MM · pith_short_16: KFELHA5XR5MM2H6H · pith_short_8: KFELHA5X

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/KFELHA5XR5MM2H6HMII5FH4MHH \
  | 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: 5148b383b78f58cd1fc76211d29f8c39eabcf8e5280e65df1b0cb30f23ece070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1343cf784b5d269bdbdd67dc1ffbdf3a250a273e4ed0f60970552448d485d028",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-05-03T05:12:35Z",
    "title_canon_sha256": "5acaa3f86bfbc312156e679bcdda8a4d8438036c16ddd59af9d7cb6eb725353a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0615",
    "kind": "arxiv",
    "version": 1
  }
}