Pith Number

pith:B7CDWR5E

pith:2016:B7CDWR5EFZTGXCB56NY6NBC3WR

not attested not anchored not stored refs pending

Approximate Controllability of a Class of Partial Integro-Differential Equations of Parabolic Type

Amiya K. Pani, Anil Kumar, Mohan C. Joshi

arxiv:1606.03673 v1 · 2016-06-12 · 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{B7CDWR5EFZTGXCB56NY6NBC3WR}

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	2026-05-18T01:12:33.373161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fc43b47a42e666b883df371e6845bb46cbe01d1900449b5c6b53fe4f1803069

Aliases

arxiv: 1606.03673 · arxiv_version: 1606.03673v1 · doi: 10.48550/arxiv.1606.03673 · pith_short_12: B7CDWR5EFZTG · pith_short_16: B7CDWR5EFZTGXCB5 · pith_short_8: B7CDWR5E

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/B7CDWR5EFZTGXCB56NY6NBC3WR \
  | 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: 0fc43b47a42e666b883df371e6845bb46cbe01d1900449b5c6b53fe4f1803069

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0e649ebc0a1eac771d59e08a6ce63071a2a330c761503cdc0d3915c5deba6e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-06-12T07:13:18Z",
    "title_canon_sha256": "83285d0f69dca24aacba48be07c43659adeae08edba9701838214d9aa75c0d74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03673",
    "kind": "arxiv",
    "version": 1
  }
}