Pith Number

pith:QCVLMZPA

pith:2014:QCVLMZPAG5XOH3JRNT5OYM5QUV

not attested not anchored not stored refs pending

Error Bounds and Holder Metric Subregularity

Alexander Y. Kruger

arxiv:1411.6414 v2 · 2014-11-24 · 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{QCVLMZPAG5XOH3JRNT5OYM5QUV}

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	2026-05-18T00:22:16.645229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80aab665e0376ee3ed316cfaec33b0a577a1ea4f0e25bd8646e9511629f3a54b

Aliases

arxiv: 1411.6414 · arxiv_version: 1411.6414v2 · doi: 10.48550/arxiv.1411.6414 · pith_short_12: QCVLMZPAG5XO · pith_short_16: QCVLMZPAG5XOH3JR · pith_short_8: QCVLMZPA

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/QCVLMZPAG5XOH3JRNT5OYM5QUV \
  | 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: 80aab665e0376ee3ed316cfaec33b0a577a1ea4f0e25bd8646e9511629f3a54b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de5d1330fa0445e04d4979fe53b85eabbce7fa4a297d1b55d7df02b80b16189d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-11-24T11:17:53Z",
    "title_canon_sha256": "c44d1b79e1147d9cbce56f4d256c212e17c0796d5c729514a6efeda5888b1810"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6414",
    "kind": "arxiv",
    "version": 2
  }
}