Pith Number

pith:RIUVBUWT

pith:2011:RIUVBUWTTFXAST2YHIHZJUWLAL

not attested not anchored not stored refs pending

Intrinsic Means on the Circle: Uniqueness, Locus and Asymptotics

Stephan Huckemann, Thomas Hotz

arxiv:1108.2141 v1 · 2011-08-10 · stat.ME · 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{RIUVBUWTTFXAST2YHIHZJUWLAL}

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	2026-05-18T04:15:49.287830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a2950d2d3996e094f583a0f94d2cb02c486f30a29fcc31b71ca2e02535ca7b2

Aliases

arxiv: 1108.2141 · arxiv_version: 1108.2141v1 · doi: 10.48550/arxiv.1108.2141 · pith_short_12: RIUVBUWTTFXA · pith_short_16: RIUVBUWTTFXAST2Y · pith_short_8: RIUVBUWT

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/RIUVBUWTTFXAST2YHIHZJUWLAL \
  | 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: 8a2950d2d3996e094f583a0f94d2cb02c486f30a29fcc31b71ca2e02535ca7b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a78231935cd951e6ace7abd241f9c4b0f709a13a1f1d0769e2f73451aea5df6e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2011-08-10T10:28:54Z",
    "title_canon_sha256": "5f160e2a051b4858250530b587cce48fb0db2c9af379c6ccb15b81b48dff4289"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2141",
    "kind": "arxiv",
    "version": 1
  }
}