Pith Number

pith:JX25KAV2

pith:2011:JX25KAV2QTH3FLMVXMVEFKZBHN

not attested not anchored not stored refs pending

Compositions and convex combinations of asymptotically regular firmly nonexpansive mappings are also asymptotically regular

Heinz H. Bauschke, Sarah M. Moffat, Victoria Martin-Marquez, Xianfu Wang

arxiv:1112.4923 v1 · 2011-12-21 · math.FA · 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{JX25KAV2QTH3FLMVXMVEFKZBHN}

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	2026-05-18T04:05:56.809219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4df5d502ba84cfb2ad95bb2a42ab213b79f686268ec80fb7c6a5134eb4938038

Aliases

arxiv: 1112.4923 · arxiv_version: 1112.4923v1 · doi: 10.48550/arxiv.1112.4923 · pith_short_12: JX25KAV2QTH3 · pith_short_16: JX25KAV2QTH3FLMV · pith_short_8: JX25KAV2

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/JX25KAV2QTH3FLMVXMVEFKZBHN \
  | 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: 4df5d502ba84cfb2ad95bb2a42ab213b79f686268ec80fb7c6a5134eb4938038

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dde8449909c14e640c8397341f8dfb3b3dc7284ae4eccda619d6e3644af59082",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-12-21T04:48:10Z",
    "title_canon_sha256": "82553fa90400a1ae21e1469360b7e68beb64e591d63451c5ea38c454844ba91d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4923",
    "kind": "arxiv",
    "version": 1
  }
}