Pith Number

pith:VMOOA52V

pith:2026:VMOOA52VQRCZD7VS6VCW6DGN5N

not attested not anchored not stored refs pending

Optimal cost of fast boundary controls for the one-dimensional heat equation

Pierre Lissy

arxiv:2608.08041 v1 · 2026-08-08 · math.OC · 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{VMOOA52VQRCZD7VS6VCW6DGN5N}

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	2026-08-11T01:21:29.364314Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab1ce07755844591feb2f5456f0ccdeb7a78f67983bd043e5eeec28f9ab218c2

Aliases

arxiv: 2608.08041 · arxiv_version: 2608.08041v1 · doi: 10.48550/arxiv.2608.08041 · pith_short_12: VMOOA52VQRCZ · pith_short_16: VMOOA52VQRCZD7VS · pith_short_8: VMOOA52V

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/VMOOA52VQRCZD7VS6VCW6DGN5N \
  | 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: ab1ce07755844591feb2f5456f0ccdeb7a78f67983bd043e5eeec28f9ab218c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90566b40dc16c9281c56dddd2010b306d0b20f44f2598560d5ebd56033d77cad",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-08-08T09:57:47Z",
    "title_canon_sha256": "f3306c43bd8b24a6e1e5f29943e70e460e18bf16a497bbb7ecf09ec44757888d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08041",
    "kind": "arxiv",
    "version": 1
  }
}