Pith Number

pith:LGYEMAWH

pith:2011:LGYEMAWHRMPPO26NUGNTPLKS4N

not attested not anchored not stored refs pending

On The Convergence of Gradient Descent for Finding the Riemannian Center of Mass

Bijan Afsari, Ren\'e Vidal, Roberto Tron

arxiv:1201.0925 v1 · 2011-12-30 · math.DG · cs.CV · cs.NA · math.NA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGYEMAWHRMPPO26NUGNTPLKS4N}

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	2026-05-18T04:05:15.476066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59b04602c78b1ef76bcda19b37ad52e35117c45aa8c25b169a6803989ec4987d

Aliases

arxiv: 1201.0925 · arxiv_version: 1201.0925v1 · doi: 10.48550/arxiv.1201.0925 · pith_short_12: LGYEMAWHRMPP · pith_short_16: LGYEMAWHRMPPO26N · pith_short_8: LGYEMAWH

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/LGYEMAWHRMPPO26NUGNTPLKS4N \
  | 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: 59b04602c78b1ef76bcda19b37ad52e35117c45aa8c25b169a6803989ec4987d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8555e67038762f17de781e791f520a843b9238276050e09f004f56137fa7cf63",
    "cross_cats_sorted": [
      "cs.CV",
      "cs.NA",
      "math.NA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-12-30T17:59:03Z",
    "title_canon_sha256": "d53b0f1f06a85773352e0a372f3b7d2c2cd3204841b4a4e8dc85e64236b5a0fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0925",
    "kind": "arxiv",
    "version": 1
  }
}