Pith Number

pith:2RTCTTXR

pith:2017:2RTCTTXRSRPZKEQ4LIV7J3ZRXN

not attested not anchored not stored refs pending

A Lyapunov function construction for a non-convex Douglas-Rachford iteration

Bj\"orn S. R\"uffer, Ohad Giladi

arxiv:1708.08697 v2 · 2017-08-29 · 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{2RTCTTXRSRPZKEQ4LIV7J3ZRXN}

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	2026-05-18T00:03:19.524177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d46629cef1945f95121c5a2bf4ef31bb7e8337a63e7278f4b048c0a6c9441ca4

Aliases

arxiv: 1708.08697 · arxiv_version: 1708.08697v2 · doi: 10.48550/arxiv.1708.08697 · pith_short_12: 2RTCTTXRSRPZ · pith_short_16: 2RTCTTXRSRPZKEQ4 · pith_short_8: 2RTCTTXR

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/2RTCTTXRSRPZKEQ4LIV7J3ZRXN \
  | 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: d46629cef1945f95121c5a2bf4ef31bb7e8337a63e7278f4b048c0a6c9441ca4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a58251f68466f496b569b01f865564adc70d07a93c64e293fced549ecae2ae8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-08-29T11:15:18Z",
    "title_canon_sha256": "4439eb7ca61d9423c1bdef5f11aeb3a0c824a5636ad61de8f377de1983be53d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08697",
    "kind": "arxiv",
    "version": 2
  }
}