Pith Number

pith:SBCE3LWL

pith:2010:SBCE3LWLVWKXX4DB2SZAPO4WMH

not attested not anchored not stored refs pending

Central Swaths (A Generalization of the Central Path)

James Renegar

arxiv:1005.5495 v2 · 2010-05-30 · math.OC · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SBCE3LWLVWKXX4DB2SZAPO4WMH}

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	2026-05-18T03:59:49.649071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90444daecbad957bf061d4b207bb9661e0e769fb05918ea14375cdde6fd7a864

Aliases

arxiv: 1005.5495 · arxiv_version: 1005.5495v2 · doi: 10.48550/arxiv.1005.5495 · pith_short_12: SBCE3LWLVWKX · pith_short_16: SBCE3LWLVWKXX4DB · pith_short_8: SBCE3LWL

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/SBCE3LWLVWKXX4DB2SZAPO4WMH \
  | 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: 90444daecbad957bf061d4b207bb9661e0e769fb05918ea14375cdde6fd7a864

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5af81936abf34fdd7bf29fac8269b90d22367b1d486647a483ed6fde9382ac29",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-05-30T02:07:27Z",
    "title_canon_sha256": "450a1e1bf976a70dd51314c5e726c7ea98fea16c57513c60e03de05669b9d97a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5495",
    "kind": "arxiv",
    "version": 2
  }
}