Pith Number

pith:E5F5PHRQ

pith:2015:E5F5PHRQ2H56BVZPXJCTHUSOF4

not attested not anchored not stored refs pending

On the Optimal Control of the Free Boundary Problems for the Second Order Parabolic Equations. II.Convergence of the Method of Finite Differences

Ugur G. Abdulla

arxiv:1506.02341 v3 · 2015-06-08 · 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{E5F5PHRQ2H56BVZPXJCTHUSOF4}

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	2026-05-18T01:00:53.875552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

274bd79e30d1fbe0d72fba4533d24e2f08ead8831811cc7ded9009f1c70d70d7

Aliases

arxiv: 1506.02341 · arxiv_version: 1506.02341v3 · doi: 10.48550/arxiv.1506.02341 · pith_short_12: E5F5PHRQ2H56 · pith_short_16: E5F5PHRQ2H56BVZP · pith_short_8: E5F5PHRQ

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/E5F5PHRQ2H56BVZPXJCTHUSOF4 \
  | 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: 274bd79e30d1fbe0d72fba4533d24e2f08ead8831811cc7ded9009f1c70d70d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ac5a7ecbb56d86b5894b8b3ba32c9fedb5c1feaba0973869d01fb269d8822e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-08T02:39:17Z",
    "title_canon_sha256": "e475eb583d0fd99e584ec9c66d121d84242ced3c299321a007ea3067812fc6b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02341",
    "kind": "arxiv",
    "version": 3
  }
}