Pith Number

pith:I7L7SH2Z

pith:2017:I7L7SH2ZZLZUIDU6YKKW5HSJEB

not attested not anchored not stored refs pending

Ergodic behaviour of a Douglas-Rachford operator away from the origin

Jonathan M. Borwein, Ohad Giladi

arxiv:1708.09068 v1 · 2017-08-30 · 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{I7L7SH2ZZLZUIDU6YKKW5HSJEB}

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	2026-05-18T00:36:21.108461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47d7f91f59caf3440e9ec2956e9e4920621e507ba1eadf5829eed007c1bbc80a

Aliases

arxiv: 1708.09068 · arxiv_version: 1708.09068v1 · doi: 10.48550/arxiv.1708.09068 · pith_short_12: I7L7SH2ZZLZU · pith_short_16: I7L7SH2ZZLZUIDU6 · pith_short_8: I7L7SH2Z

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/I7L7SH2ZZLZUIDU6YKKW5HSJEB \
  | 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: 47d7f91f59caf3440e9ec2956e9e4920621e507ba1eadf5829eed007c1bbc80a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97dc2505b70f6234be0bea4a7a88c23ea7ef8802c2dc1f5c9a72c42c63aa4bb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-08-30T00:16:48Z",
    "title_canon_sha256": "f1bcb32ef36b7e71c133743b6d654a6947eb2ad20ff03186601a06444146f46a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09068",
    "kind": "arxiv",
    "version": 1
  }
}