Pith Number

pith:J6JO6FOG

pith:2016:J6JO6FOGP2J3EC4X2N36Y7SDYN

not attested not anchored not stored refs pending

A weak convergence theorem for mean nonexpansive mappings

Torrey M. Gallagher

arxiv:1611.09390 v1 · 2016-11-28 · 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{J6JO6FOGP2J3EC4X2N36Y7SDYN}

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	2026-05-18T00:56:18.709918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f92ef15c67e93b20b97d377ec7e43c37729edb2da073f79bed739010b84f43e

Aliases

arxiv: 1611.09390 · arxiv_version: 1611.09390v1 · doi: 10.48550/arxiv.1611.09390 · pith_short_12: J6JO6FOGP2J3 · pith_short_16: J6JO6FOGP2J3EC4X · pith_short_8: J6JO6FOG

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/J6JO6FOGP2J3EC4X2N36Y7SDYN \
  | 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: 4f92ef15c67e93b20b97d377ec7e43c37729edb2da073f79bed739010b84f43e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8ec19f1c42166bf71424c1b1771ba1e2affe84f6b6cf52ad6c2f74ad4b2cfe3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-11-28T21:23:45Z",
    "title_canon_sha256": "990615eacb7be7313c34e5b3b56d879024d11a541a041460b63ca7114c5e253d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09390",
    "kind": "arxiv",
    "version": 1
  }
}