Pith Number

pith:KCERJZCZ

pith:2011:KCERJZCZ4IHMWVMQ4GD3ZD2RMD

not attested not anchored not stored refs pending

A coordinate-free condition number for convex programming

Dennis Amelunxen, Peter B\"urgisser

arxiv:1105.4049 v2 · 2011-05-20 · 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{KCERJZCZ4IHMWVMQ4GD3ZD2RMD}

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	2026-05-18T03:41:40.504233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

508914e459e20ecb5590e187bc8f5160d2b04647a564bbd9590e152358e78710

Aliases

arxiv: 1105.4049 · arxiv_version: 1105.4049v2 · doi: 10.48550/arxiv.1105.4049 · pith_short_12: KCERJZCZ4IHM · pith_short_16: KCERJZCZ4IHMWVMQ · pith_short_8: KCERJZCZ

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/KCERJZCZ4IHMWVMQ4GD3ZD2RMD \
  | 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: 508914e459e20ecb5590e187bc8f5160d2b04647a564bbd9590e152358e78710

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdf5ac9b19404dfb6c0f070371c370b9eca06c7427e6a4fe890a0283222327c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-05-20T09:32:28Z",
    "title_canon_sha256": "f105407ba71cdf70ec2f223cf4b5dbd8731bf92e531238dc951178d028592fbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4049",
    "kind": "arxiv",
    "version": 2
  }
}