Pith Number

pith:XV7RLXKZ

pith:2017:XV7RLXKZAAEPNFVLFBV3XNPJX5

not attested not anchored not stored refs pending

On the State Constrained Optimal Control of the Stefan Type Free Boundary Problems

Curtis Earl, Evan Cosgrove, Jonathan Goldfarb, Ugur G. Abdulla

arxiv:1711.11428 v1 · 2017-11-29 · 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{XV7RLXKZAAEPNFVLFBV3XNPJX5}

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	2026-05-18T00:29:11.643311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd7f15dd590008f696ab286bbbb5e9bf41771cd7d7738764a4ee93966ae0b609

Aliases

arxiv: 1711.11428 · arxiv_version: 1711.11428v1 · doi: 10.48550/arxiv.1711.11428 · pith_short_12: XV7RLXKZAAEP · pith_short_16: XV7RLXKZAAEPNFVL · pith_short_8: XV7RLXKZ

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/XV7RLXKZAAEPNFVLFBV3XNPJX5 \
  | 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: bd7f15dd590008f696ab286bbbb5e9bf41771cd7d7738764a4ee93966ae0b609

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ded2ad7f261f21c00710930aa7007519f88a4b07f370dcb0a8e91a7c7b45657b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-29T18:08:20Z",
    "title_canon_sha256": "093a7048aa53d5ce1a33d9832cba98b4eec42ec167618baaa686c4716f22e5b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.11428",
    "kind": "arxiv",
    "version": 1
  }
}