Pith Number

pith:QIIQDHVV

pith:2011:QIIQDHVVXVJP6M5W2T64GKL777

not attested not anchored not stored refs pending

Higher-order infinite horizon variational problems in discrete quantum calculus

Delfim F. M. Torres, Natalia Martins

arxiv:1112.0787 v1 · 2011-12-04 · 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{QIIQDHVVXVJP6M5W2T64GKL777}

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	2026-05-18T03:46:03.647505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8211019eb5bd52ff33b6d4fdc3297fffc937a9566ae468b338a4c270ebc40766

Aliases

arxiv: 1112.0787 · arxiv_version: 1112.0787v1 · doi: 10.48550/arxiv.1112.0787 · pith_short_12: QIIQDHVVXVJP · pith_short_16: QIIQDHVVXVJP6M5W · pith_short_8: QIIQDHVV

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/QIIQDHVVXVJP6M5W2T64GKL777 \
  | 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: 8211019eb5bd52ff33b6d4fdc3297fffc937a9566ae468b338a4c270ebc40766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c6f35e9d7a336b8a3f6b8dd7fbbf4404faf323a2aed2320367b759f0d959114",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-12-04T18:49:12Z",
    "title_canon_sha256": "a7522139bf2cac79d51e0367d9d421bcac07436e7cd7650648cb5781c0010216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0787",
    "kind": "arxiv",
    "version": 1
  }
}