Pith Number

pith:KNSNRUTS

pith:2016:KNSNRUTS7ISYBRFJHJJTLNOXVE

not attested not anchored not stored refs pending

Optimal control of the coefficient for fractional and regional fractional {$p$}-{L}aplace equations: Approximation and convergence

Harbir Antil, Mahamadi Warma

arxiv:1612.08201 v2 · 2016-12-24 · math.OC · math.AP · 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{KNSNRUTS7ISYBRFJHJJTLNOXVE}

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	2026-05-18T00:52:30.675517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5364d8d272fa2580c4a93a5335b5d7a9385ff644aa2ba02bccc7d9f6d9f7993b

Aliases

arxiv: 1612.08201 · arxiv_version: 1612.08201v2 · doi: 10.48550/arxiv.1612.08201 · pith_short_12: KNSNRUTS7ISY · pith_short_16: KNSNRUTS7ISYBRFJ · pith_short_8: KNSNRUTS

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/KNSNRUTS7ISYBRFJHJJTLNOXVE \
  | 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: 5364d8d272fa2580c4a93a5335b5d7a9385ff644aa2ba02bccc7d9f6d9f7993b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ac760a8be36d486106c9a1317bdaff72a0379ea1df64688cbf5e1f1cde85cb4",
    "cross_cats_sorted": [
      "math.AP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-24T16:20:35Z",
    "title_canon_sha256": "7dee642a6de57887f331ab00356aef09cf69c603a377dff9140364fecc6ce6c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08201",
    "kind": "arxiv",
    "version": 2
  }
}