Pith Number

pith:3L5CRDRP

pith:2016:3L5CRDRPBQTNAJJC427J44VHTV

not attested not anchored not stored refs pending

Angle criteria for uniform convergence of averaged projections and cyclic or random products of projections

Izhar Oppenheim

arxiv:1605.00220 v5 · 2016-05-01 · 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{3L5CRDRPBQTNAJJC427J44VHTV}

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	2026-05-18T01:10:59.071760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dafa288e2f0c26d02522e6be9e72a79d72ebdf243100b980c7942a3e34339f52

Aliases

arxiv: 1605.00220 · arxiv_version: 1605.00220v5 · doi: 10.48550/arxiv.1605.00220 · pith_short_12: 3L5CRDRPBQTN · pith_short_16: 3L5CRDRPBQTNAJJC · pith_short_8: 3L5CRDRP

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/3L5CRDRPBQTNAJJC427J44VHTV \
  | 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: dafa288e2f0c26d02522e6be9e72a79d72ebdf243100b980c7942a3e34339f52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bd86551c7ae27588ea042a9878e1b61a4bf9eba701ac27186b9053ac683648c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-05-01T08:38:58Z",
    "title_canon_sha256": "762ac14117e2503f4c65cfacc6565bc92214bed808da75b6d1683cfb9ada4d5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00220",
    "kind": "arxiv",
    "version": 5
  }
}