Pith Number

pith:FSHYKEEK

pith:2012:FSHYKEEKHL4Y7ZMZING7JHFGUC

not attested not anchored not stored refs pending

A Look at the Generalized Heron Problem through the Lens of Majorization-Minimization

Eric C. Chi, Kenneth Lange

arxiv:1203.0578 v2 · 2012-03-02 · 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{FSHYKEEKHL4Y7ZMZING7JHFGUC}

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	2026-05-18T02:21:17.316919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c8f85108a3af98fe599434df49ca6a0a0128d2be172cb17d99618f49efe8313

Aliases

arxiv: 1203.0578 · arxiv_version: 1203.0578v2 · doi: 10.48550/arxiv.1203.0578 · pith_short_12: FSHYKEEKHL4Y · pith_short_16: FSHYKEEKHL4Y7ZMZ · pith_short_8: FSHYKEEK

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/FSHYKEEKHL4Y7ZMZING7JHFGUC \
  | 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: 2c8f85108a3af98fe599434df49ca6a0a0128d2be172cb17d99618f49efe8313

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74ad67f2cafc332fa7233c83550974272f3d788b12358c8b958ba4a320a08741",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-03-02T21:44:59Z",
    "title_canon_sha256": "29a77e1bdd4c0c5f171921826177bf808e821df89d7b18193bfbe0fe8e5b92b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0578",
    "kind": "arxiv",
    "version": 2
  }
}