Pith Number

pith:44PLOQ2E

pith:2012:44PLOQ2E7MMVGP5P6RR2BIF6AA

not attested not anchored not stored refs pending

Shifted L-BFGS Systems

Jennifer B. Erway, Roummel F. Marcia, Vibhor Jain

arxiv:1209.5141 v2 · 2012-09-24 · 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{44PLOQ2E7MMVGP5P6RR2BIF6AA}

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	2026-05-18T03:21:33.655456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e71eb74344fb19533faff463a0a0be0036ba657c3e83986b8304b04c4c36cb4a

Aliases

arxiv: 1209.5141 · arxiv_version: 1209.5141v2 · doi: 10.48550/arxiv.1209.5141 · pith_short_12: 44PLOQ2E7MMV · pith_short_16: 44PLOQ2E7MMVGP5P · pith_short_8: 44PLOQ2E

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/44PLOQ2E7MMVGP5P6RR2BIF6AA \
  | 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: e71eb74344fb19533faff463a0a0be0036ba657c3e83986b8304b04c4c36cb4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ea8e04566a336674180eb7cdef5cec7daa280371ba122bd5f8b9b81b18f02f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-09-24T03:25:11Z",
    "title_canon_sha256": "bf4a186531bc8c56ec6e8e31557a8ab329a67bdd3a31b890ac9b3fc4cd29face"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5141",
    "kind": "arxiv",
    "version": 2
  }
}