Pith Number

pith:U7BJAL7M

pith:2013:U7BJAL7M3V5ERRKH7OAL566BKB

not attested not anchored not stored refs pending

A stochastic algorithm finding generalized means on compact manifolds

Laurent Miclo (IMT), Marc Arnaudon (IMB)

arxiv:1305.6295 v1 · 2013-05-27 · 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{U7BJAL7M3V5ERRKH7OAL566BKB}

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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	2026-05-18T03:24:51.627404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7c2902fecdd7a48c547fb80befbc15077a3140dcf28de8f049ea81be4c950a0

Aliases

arxiv: 1305.6295 · arxiv_version: 1305.6295v1 · doi: 10.48550/arxiv.1305.6295 · pith_short_12: U7BJAL7M3V5E · pith_short_16: U7BJAL7M3V5ERRKH · pith_short_8: U7BJAL7M

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/U7BJAL7M3V5ERRKH7OAL566BKB \
  | 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: a7c2902fecdd7a48c547fb80befbc15077a3140dcf28de8f049ea81be4c950a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71bd60c68406285966c57733006fd29b35f1f686f9b0888ee5318cd9bf6b4199",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-27T19:07:41Z",
    "title_canon_sha256": "a725582c6e7bb6d8e8f6fe5132393897e4874f5d9706b5b5eca3e83601731f37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6295",
    "kind": "arxiv",
    "version": 1
  }
}