Pith Number

pith:2NPZ4BXF

pith:2015:2NPZ4BXFEWXFSWFUAWVRPN2KM3

not attested not anchored not stored refs pending

On the reachable states for the boundary control of the heat equation

Lionel Rosier (CAS), Philippe Martin (CAS), Pierre Rouchon (CAS)

arxiv:1509.09072 v1 · 2015-09-30 · 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{2NPZ4BXFEWXFSWFUAWVRPN2KM3}

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	2026-05-18T01:31:29.171544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d35f9e06e525ae5958b405ab17b74a66f1b64cd3e164902b0454cb38c895f545

Aliases

arxiv: 1509.09072 · arxiv_version: 1509.09072v1 · doi: 10.48550/arxiv.1509.09072 · pith_short_12: 2NPZ4BXFEWXF · pith_short_16: 2NPZ4BXFEWXFSWFU · pith_short_8: 2NPZ4BXF

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/2NPZ4BXFEWXFSWFUAWVRPN2KM3 \
  | 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: d35f9e06e525ae5958b405ab17b74a66f1b64cd3e164902b0454cb38c895f545

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a533540a045c2b7c7192c453c14fed8ea87bb653370b5028149b606687f3b5e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-30T08:40:41Z",
    "title_canon_sha256": "8d4624bfdc2501c06998710c1dea3fb3dfb65b1fe8dc3d7a5a12e661aa813857"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09072",
    "kind": "arxiv",
    "version": 1
  }
}