Pith Number

pith:CW76MHWX

pith:2016:CW76MHWXCQ3UTC6JQL6SL26DQG

not attested not anchored not stored refs pending

An a posteriori error analysis for an optimal control problem involving the fractional Laplacian

Enrique Otarola, Harbir Antil

arxiv:1603.08989 v1 · 2016-03-29 · math.OC · 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{CW76MHWXCQ3UTC6JQL6SL26DQG}

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	2026-05-18T01:18:04.096730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15bfe61ed71437498bc982fd25ebc381acbfac519fb4d17db03ea18af2b765e9

Aliases

arxiv: 1603.08989 · arxiv_version: 1603.08989v1 · doi: 10.48550/arxiv.1603.08989 · pith_short_12: CW76MHWXCQ3U · pith_short_16: CW76MHWXCQ3UTC6J · pith_short_8: CW76MHWX

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/CW76MHWXCQ3UTC6JQL6SL26DQG \
  | 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: 15bfe61ed71437498bc982fd25ebc381acbfac519fb4d17db03ea18af2b765e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30df1d118f8c2bdb12080111aea1449395b137708b539dd48efde336bd816d90",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-03-29T22:44:50Z",
    "title_canon_sha256": "7c9121fcf19bdf99158d8a18a6c041c1f6d0cae5955a1d5f1f3c98528d158fbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08989",
    "kind": "arxiv",
    "version": 1
  }
}