Pith Number

pith:UHTJUDYL

pith:2010:UHTJUDYLJRDNHUFD7RLEIWLWFY

not attested not anchored not stored refs pending

Optimal regularization processes on complete Riemannian manifolds

Guenther Hoermann, Michael Kunzinger, Shantanu Dave

arxiv:1003.3341 v2 · 2010-03-17 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UHTJUDYLJRDNHUFD7RLEIWLWFY}

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	2026-05-18T02:54:53.934464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1e69a0f0b4c46d3d0a3fc564459762e0e215a25034d92d77be30e17c6937416

Aliases

arxiv: 1003.3341 · arxiv_version: 1003.3341v2 · doi: 10.48550/arxiv.1003.3341 · pith_short_12: UHTJUDYLJRDN · pith_short_16: UHTJUDYLJRDNHUFD · pith_short_8: UHTJUDYL

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/UHTJUDYLJRDNHUFD7RLEIWLWFY \
  | 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: a1e69a0f0b4c46d3d0a3fc564459762e0e215a25034d92d77be30e17c6937416

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66468aa355e64473aa254be2e69babaa140b18d2edf30e58a8e8b4f522689c87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-03-17T10:26:34Z",
    "title_canon_sha256": "801274f55d77ee0be011aeb60ab2cfe180c882e42b228600513f2d80507229f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3341",
    "kind": "arxiv",
    "version": 2
  }
}