Pith Number

pith:6YDIFD5Z

pith:2012:6YDIFD5ZSXMRJOJR4LADBTK2GI

not attested not anchored not stored refs pending

Precise tail index of fixed points of the two-sided smoothing transform

Ewa Damek, Gerold Alsmeyer, Sebastian Mentemeier

arxiv:1206.3970 v1 · 2012-06-18 · 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{6YDIFD5ZSXMRJOJR4LADBTK2GI}

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	2026-05-18T03:53:18.257913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f606828fb995d914b931e2c030cd5a32319c87fab21348f97e495bfe978d2143

Aliases

arxiv: 1206.3970 · arxiv_version: 1206.3970v1 · doi: 10.48550/arxiv.1206.3970 · pith_short_12: 6YDIFD5ZSXMR · pith_short_16: 6YDIFD5ZSXMRJOJR · pith_short_8: 6YDIFD5Z

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/6YDIFD5ZSXMRJOJR4LADBTK2GI \
  | 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: f606828fb995d914b931e2c030cd5a32319c87fab21348f97e495bfe978d2143

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c55bb3a4ba486fef22dd6c6b5e5dd4f8096a9825944a1e9336870194a2df7f25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-18T15:42:10Z",
    "title_canon_sha256": "7d9c1b2010b36bf7492df5cca88138268f2ac4ac60483a642a5b91e82b7edd86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3970",
    "kind": "arxiv",
    "version": 1
  }
}