Pith Number

pith:44KO2MO7

pith:2012:44KO2MO7KM4F32JPS2WKJQOJHJ

not attested not anchored not stored refs pending

On the Optimal Control of the Free Boundary Problems for the Second Order Parabolic Equations. I.Well-posedness and Convergence of the Method of Lines

Ugur G. Abdulla

arxiv:1203.4866 v1 · 2012-03-22 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{44KO2MO7KM4F32JPS2WKJQOJHJ}

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	2026-05-18T01:55:58.517916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e714ed31df53385de92f96aca4c1c93a77d7df2e406d2294f8cbc4442dd9ea95

Aliases

arxiv: 1203.4866 · arxiv_version: 1203.4866v1 · doi: 10.48550/arxiv.1203.4866 · pith_short_12: 44KO2MO7KM4F · pith_short_16: 44KO2MO7KM4F32JP · pith_short_8: 44KO2MO7

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/44KO2MO7KM4F32JPS2WKJQOJHJ \
  | 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: e714ed31df53385de92f96aca4c1c93a77d7df2e406d2294f8cbc4442dd9ea95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7a6c44ca5527f5129b3ea7fdd9e56db1d66b9986abd4a9f676d51439c81e8cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-22T01:23:35Z",
    "title_canon_sha256": "64fd6bdea7545bd7feacba798dcdcd19c37b21e6ccf23557dc0b58e383b9a71f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4866",
    "kind": "arxiv",
    "version": 1
  }
}