Pith Number

pith:3ZMS3DMU

pith:2011:3ZMS3DMUDA4C24JRI36BV3F3GZ

not attested not anchored not stored refs pending

On Optimal Allocation of a Continuous Resource Using an Iterative Approach and Total Positivity

Ester Samuel-Cahn, Jay Bartroff, Larry Goldstein, Yosef Rinott

arxiv:1103.0308 v1 · 2011-03-01 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ZMS3DMUDA4C24JRI36BV3F3GZ}

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	2026-05-18T04:27:35.350591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de592d8d9418382d713146fc1aecbb36606e379d927cf02f5cf09153fe517326

Aliases

arxiv: 1103.0308 · arxiv_version: 1103.0308v1 · doi: 10.48550/arxiv.1103.0308 · pith_short_12: 3ZMS3DMUDA4C · pith_short_16: 3ZMS3DMUDA4C24JR · pith_short_8: 3ZMS3DMU

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/3ZMS3DMUDA4C24JRI36BV3F3GZ \
  | 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: de592d8d9418382d713146fc1aecbb36606e379d927cf02f5cf09153fe517326

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b77cedeb15c11154e3013e67d456377dbe70c9d46777dbb55c0c69c431938fd",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-01T22:47:04Z",
    "title_canon_sha256": "c9b93b78561dbb9ea18cfda2ac126bd6f09663db40ebb1802b7078a2cd22deee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0308",
    "kind": "arxiv",
    "version": 1
  }
}