Pith Number

pith:TJGVXWWG

pith:2011:TJGVXWWGIPRCIDJPRS5U6X4NAA

not attested not anchored not stored refs pending

A hierarchical structure of transformation semigroups with applications to probability limit measures

G. Budzban, Ph. Feinsilver

arxiv:1103.0235 v1 · 2011-03-01 · math.PR · 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{TJGVXWWGIPRCIDJPRS5U6X4NAA}

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	2026-05-18T00:56:10.679130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a4d5bdac643e2240d2f8cbb4f5f8d00030f9dee4481d4ee27175d126ffc3a73

Aliases

arxiv: 1103.0235 · arxiv_version: 1103.0235v1 · doi: 10.48550/arxiv.1103.0235 · pith_short_12: TJGVXWWGIPRC · pith_short_16: TJGVXWWGIPRCIDJP · pith_short_8: TJGVXWWG

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/TJGVXWWGIPRCIDJPRS5U6X4NAA \
  | 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: 9a4d5bdac643e2240d2f8cbb4f5f8d00030f9dee4481d4ee27175d126ffc3a73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e2cf406b99b317630d6ba65190e4a4bf5f71751290b542a2c46339ba4787193",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-01T17:54:49Z",
    "title_canon_sha256": "9326b4d714ede3ecf8e9b4c6ab7337fffcfd33a2dc8324a3947fbd614b2614cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0235",
    "kind": "arxiv",
    "version": 1
  }
}