Pith Number

pith:HJACSVDA

pith:2011:HJACSVDAWNPOEDINXHD3V647ZX

not attested not anchored not stored refs pending

Some properties of Fr\'echet medians in Riemannian manifolds

Le Yang (LMA)

arxiv:1110.3899 v2 · 2011-10-18 · math.DG · math.PR · 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{HJACSVDAWNPOEDINXHD3V647ZX}

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	2026-05-18T04:06:56.522287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a40295460b35ee20d0db9c7bafb9fcdc01f3221ac781cdda4cfc15e16818b19

Aliases

arxiv: 1110.3899 · arxiv_version: 1110.3899v2 · doi: 10.48550/arxiv.1110.3899 · pith_short_12: HJACSVDAWNPO · pith_short_16: HJACSVDAWNPOEDIN · pith_short_8: HJACSVDA

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/HJACSVDAWNPOEDINXHD3V647ZX \
  | 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: 3a40295460b35ee20d0db9c7bafb9fcdc01f3221ac781cdda4cfc15e16818b19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff71d3aadb9b2e5814231fe3ccc22dd435c340e33776d1d149db4dfdad04b2d8",
    "cross_cats_sorted": [
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-10-18T07:46:25Z",
    "title_canon_sha256": "dcb989cf68fb7b5ba2b4137f1e6d0c64a9ecc95c1a579f87a55b8a39af567a77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3899",
    "kind": "arxiv",
    "version": 2
  }
}