Pith Number

pith:FOAFGZHK

pith:2018:FOAFGZHKA7R3YGLIRG5WT5QMRP

not attested not anchored not stored refs pending

Deep Null Space Learning for Inverse Problems: Convergence Analysis and Rates

Johannes Schwab, Markus Haltmeier, Stephan Antholzer

arxiv:1806.06137 v3 · 2018-06-15 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FOAFGZHKA7R3YGLIRG5WT5QMRP}

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	2026-05-17T23:55:20.518113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b805364ea07e3bc196889bb69f60c8bf8cc481969b819c845d4c68183e653d8

Aliases

arxiv: 1806.06137 · arxiv_version: 1806.06137v3 · doi: 10.48550/arxiv.1806.06137 · pith_short_12: FOAFGZHKA7R3 · pith_short_16: FOAFGZHKA7R3YGLI · pith_short_8: FOAFGZHK

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/FOAFGZHKA7R3YGLIRG5WT5QMRP \
  | 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: 2b805364ea07e3bc196889bb69f60c8bf8cc481969b819c845d4c68183e653d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a0f77a2888fc9849ce1d87579817d0b4409669b023585ecfee72a5b1742c68a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-06-15T21:47:15Z",
    "title_canon_sha256": "6334b0565cf125a7e9aa3f38aea3d1b8981420e675cbc813eea43c2c4c7d2cf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06137",
    "kind": "arxiv",
    "version": 3
  }
}