Pith Number

pith:24D4RCKG

pith:2014:24D4RCKGJIPUGILFVNSMSCJJAG

not attested not anchored not stored refs pending

A note on stability and optimal approximation estimates for symmetric saddle point systems

Constantin Bacuta

arxiv:1411.0634 v1 · 2014-10-31 · math.NA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{24D4RCKGJIPUGILFVNSMSCJJAG}

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	2026-05-18T02:38:44.891507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d707c889464a1f432165ab64c909290197aee52f63bccca7fbac2b4830f8b930

Aliases

arxiv: 1411.0634 · arxiv_version: 1411.0634v1 · doi: 10.48550/arxiv.1411.0634 · pith_short_12: 24D4RCKGJIPU · pith_short_16: 24D4RCKGJIPUGILF · pith_short_8: 24D4RCKG

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/24D4RCKGJIPUGILFVNSMSCJJAG \
  | 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: d707c889464a1f432165ab64c909290197aee52f63bccca7fbac2b4830f8b930

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f4537d2f10bdd1e95e183b44baf72d9ad8f929b824e1d6d0ef23472c7dafd44",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-10-31T19:13:28Z",
    "title_canon_sha256": "c8c5aff26c1ddad571a80e757bfd5bd2483235e84ffecc9b254dd256b8d8033a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0634",
    "kind": "arxiv",
    "version": 1
  }
}