Pith Number

pith:AGNCDENH

pith:2019:AGNCDENHLWQ3GZHB4MRDZX267H

not attested not anchored not stored refs pending

Optimal Control of Fractional Elliptic PDEs with State Constraints and Characterization of the dual of Fractional Order Sobolev Spaces

Deepanshu Verma, Harbir Antil, Mahamadi Warma

arxiv:1906.00032 v1 · 2019-05-31 · 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{AGNCDENHLWQ3GZHB4MRDZX267H}

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	2026-05-17T23:44:33.660948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

019a2191a75da1b364e1e3223cdf5ef9f511abd1f16e078ea1a9c5293dd8343a

Aliases

arxiv: 1906.00032 · arxiv_version: 1906.00032v1 · doi: 10.48550/arxiv.1906.00032 · pith_short_12: AGNCDENHLWQ3 · pith_short_16: AGNCDENHLWQ3GZHB · pith_short_8: AGNCDENH

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/AGNCDENHLWQ3GZHB4MRDZX267H \
  | 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: 019a2191a75da1b364e1e3223cdf5ef9f511abd1f16e078ea1a9c5293dd8343a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f164201d5fb73b0fcbc5b4e036e8ad5fac59937fa57e4155f9e907c51e8fcae1",
    "cross_cats_sorted": [
      "math.AP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-05-31T18:56:44Z",
    "title_canon_sha256": "4a83ad5f97f0dea1c52549a8691b30e999d11715cb94ae443f4a1a1a9b1d7540"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.00032",
    "kind": "arxiv",
    "version": 1
  }
}