Pith Number

pith:PBJWPGIO

pith:2017:PBJWPGIOWIGTGT25ZHJXRBWBGR

not attested not anchored not stored refs pending

Optimal control of fractional semilinear PDEs

Harbir Antil, Mahamadi Warma

arxiv:1712.04336 v2 · 2017-12-09 · 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{PBJWPGIOWIGTGT25ZHJXRBWBGR}

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	2026-05-17T23:56:30.099904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

785367990eb20d334f5dc9d37886c13465cfeb6cb3015a7ff4442f465c6f39ef

Aliases

arxiv: 1712.04336 · arxiv_version: 1712.04336v2 · doi: 10.48550/arxiv.1712.04336 · pith_short_12: PBJWPGIOWIGT · pith_short_16: PBJWPGIOWIGTGT25 · pith_short_8: PBJWPGIO

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/PBJWPGIOWIGTGT25ZHJXRBWBGR \
  | 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: 785367990eb20d334f5dc9d37886c13465cfeb6cb3015a7ff4442f465c6f39ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "096a8a704fa33385c3a66808ff088da9fc15d717e4f11879bd3be38374d76976",
    "cross_cats_sorted": [
      "math.AP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-12-09T13:33:18Z",
    "title_canon_sha256": "0b73e27b976008e726db07bb51509c92f1d6bd0abb8f1119e319e6b36a29ef4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04336",
    "kind": "arxiv",
    "version": 2
  }
}