Pith Number

pith:AMYUZMRU

pith:2011:AMYUZMRUPC4RF3G7J47DFUVIG3

not attested not anchored not stored refs pending

Asymptotics of the Empirical Cross-over Function

Dipak Dey, Karthik Bharath, Vladimir Pozdnyakov

arxiv:1112.3427 v4 · 2011-12-15 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AMYUZMRUPC4RF3G7J47DFUVIG3}

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	2026-05-18T03:33:59.874403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03314cb23478b912ecdf4f3e32d2a836f9c29102c6d4b82514016a2870052b45

Aliases

arxiv: 1112.3427 · arxiv_version: 1112.3427v4 · doi: 10.48550/arxiv.1112.3427 · pith_short_12: AMYUZMRUPC4R · pith_short_16: AMYUZMRUPC4RF3G7 · pith_short_8: AMYUZMRU

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/AMYUZMRUPC4RF3G7J47DFUVIG3 \
  | 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: 03314cb23478b912ecdf4f3e32d2a836f9c29102c6d4b82514016a2870052b45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9801ae1b199a4f7667983d8cb2db52f4c4a4593bb1db4623518795df528df92",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-12-15T05:38:55Z",
    "title_canon_sha256": "98e84cf18026fec3c16aff78c7288a8334ba50d096290ff25cc5730c2f6eecf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3427",
    "kind": "arxiv",
    "version": 4
  }
}