Pith Number

pith:W7FT357G

pith:2011:W7FT357G5UIZ2O72WK4FBDGHEW

not attested not anchored not stored refs pending

Some limits to nonparametric estimation for ergodic processes

Hayato Takahashi

arxiv:1102.3241 v1 · 2011-02-16 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7FT357G5UIZ2O72WK4FBDGHEW}

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	2026-05-18T04:28:36.787146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7cb3df7e6ed119d3bfab2b8508cc725a732aeffdde5c81ca88809588ce6b80e

Aliases

arxiv: 1102.3241 · arxiv_version: 1102.3241v1 · doi: 10.48550/arxiv.1102.3241 · pith_short_12: W7FT357G5UIZ · pith_short_16: W7FT357G5UIZ2O72 · pith_short_8: W7FT357G

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/W7FT357G5UIZ2O72WK4FBDGHEW \
  | 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: b7cb3df7e6ed119d3bfab2b8508cc725a732aeffdde5c81ca88809588ce6b80e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8305381bf45fb040dfb8d46d282a91408e2c425e8ab06b68fe588e8881fe0534",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-02-16T05:24:59Z",
    "title_canon_sha256": "842f7fdd130e1bdb06443c0544735b82460823caf4cb38cb7d0e349b0eb6a066"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3241",
    "kind": "arxiv",
    "version": 1
  }
}