Pith Number

pith:VMK7PU73

pith:2013:VMK7PU73DXTKWKYHZGNZ6YJT72

not attested not anchored not stored refs pending

A Cyclic Douglas-Rachford Iteration Scheme

Jonathan M. Borwein, Matthew K. Tam

arxiv:1303.1859 v4 · 2013-03-08 · math.OC · 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{VMK7PU73DXTKWKYHZGNZ6YJT72}

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	2026-05-18T00:15:02.692323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab15f7d3fb1de6ab2b07c99b9f6133feaae06e5a0ac06c910dcbea65d9d66225

Aliases

arxiv: 1303.1859 · arxiv_version: 1303.1859v4 · doi: 10.48550/arxiv.1303.1859 · pith_short_12: VMK7PU73DXTK · pith_short_16: VMK7PU73DXTKWKYH · pith_short_8: VMK7PU73

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/VMK7PU73DXTKWKYHZGNZ6YJT72 \
  | 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: ab15f7d3fb1de6ab2b07c99b9f6133feaae06e5a0ac06c910dcbea65d9d66225

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae3202e1197d546a714a9b125862dfaca78c0cf4078f46c7fb3884579732e6e7",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-03-08T00:13:48Z",
    "title_canon_sha256": "bbb1abd3ec973c2ea2bc3a0e8560eb909b6c434089a5718700779b131b31cbbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1859",
    "kind": "arxiv",
    "version": 4
  }
}