Pith Number

pith:PL4BKDSQ

pith:2014:PL4BKDSQDEZXF6VZXFZAZGBQTG

not attested not anchored not stored refs pending

Compositions and Convex Combinations of Averaged Nonexpansive Operators

Isao Yamada, Patrick L. Combettes

arxiv:1407.5100 v2 · 2014-07-18 · 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{PL4BKDSQDEZXF6VZXFZAZGBQTG}

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	2026-05-18T02:40:53.789742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7af8150e50193372fab9b9720c9830999dfa22b24362387c453fb8c13a7be8b0

Aliases

arxiv: 1407.5100 · arxiv_version: 1407.5100v2 · doi: 10.48550/arxiv.1407.5100 · pith_short_12: PL4BKDSQDEZX · pith_short_16: PL4BKDSQDEZXF6VZ · pith_short_8: PL4BKDSQ

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/PL4BKDSQDEZXF6VZXFZAZGBQTG \
  | 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: 7af8150e50193372fab9b9720c9830999dfa22b24362387c453fb8c13a7be8b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3787827b4a4eb6d062b738e3dfc7b477f7905c0b9af0a54238194d8ac4567a79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-07-18T20:07:03Z",
    "title_canon_sha256": "fc6d7ba31d9c2846a7b04d2e100762a0e9164740d9d2fc550ce5df0ab913c362"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5100",
    "kind": "arxiv",
    "version": 2
  }
}