Pith Number

pith:N5LVIFKK

pith:2020:N5LVIFKK25AN6IXYLARVXUZKV4

not attested not anchored not stored refs pending

Duality-based a posteriori error estimates for some approximation schemes for optimal investment problems

Athena Picarelli, Christoph Reisinger

arxiv:2001.01110 v1 · 2020-01-04 · 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{N5LVIFKK25AN6IXYLARVXUZKV4}

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	2026-07-05T00:29:44.197648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f5754154ad740df22f858235bd32aaf1838d764f0a8cdc2bbe07f5c5e2b3402

Aliases

arxiv: 2001.01110 · arxiv_version: 2001.01110v1 · doi: 10.48550/arxiv.2001.01110 · pith_short_12: N5LVIFKK25AN · pith_short_16: N5LVIFKK25AN6IXY · pith_short_8: N5LVIFKK

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/N5LVIFKK25AN6IXYLARVXUZKV4 \
  | 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: 6f5754154ad740df22f858235bd32aaf1838d764f0a8cdc2bbe07f5c5e2b3402

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b28ab1e5ee5559be04b4b4bc25d37af3a2feef822855f03a4f5f8e62b291288e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-01-04T18:43:24Z",
    "title_canon_sha256": "7e1628f04e49c021f82da1c1ec04191645328d7a21d99c9050643b33d2479f47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.01110",
    "kind": "arxiv",
    "version": 1
  }
}