Pith Number

pith:CWNNH6X2

pith:2012:CWNNH6X2VHMPW3DGXSQQFYV5B5

not attested not anchored not stored refs pending

Conditioning moments of singular measures for entropy optimization. I

Marko Budi\v{s}i\'c, Mihai Putinar

arxiv:1203.3235 v2 · 2012-03-14 · math.FA · math.CV · 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{CWNNH6X2VHMPW3DGXSQQFYV5B5}

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	2026-05-18T03:37:41.423077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

159ad3fafaa9d8fb6c66bca102e2bd0f4e29f69b32ea4cb84ece2c078d79dcd3

Aliases

arxiv: 1203.3235 · arxiv_version: 1203.3235v2 · doi: 10.48550/arxiv.1203.3235 · pith_short_12: CWNNH6X2VHMP · pith_short_16: CWNNH6X2VHMPW3DG · pith_short_8: CWNNH6X2

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/CWNNH6X2VHMPW3DGXSQQFYV5B5 \
  | 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: 159ad3fafaa9d8fb6c66bca102e2bd0f4e29f69b32ea4cb84ece2c078d79dcd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b181fb94ca4715d953f082d7ea556100710c80713c873e0f3b4dab7d369b78c2",
    "cross_cats_sorted": [
      "math.CV",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-03-14T23:33:42Z",
    "title_canon_sha256": "3070a2f7d251e1b207fada5c22e1b35e3bbc7f39d87fc87f123a7e777c6907fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3235",
    "kind": "arxiv",
    "version": 2
  }
}