Pith Number

pith:R5IG5Z7P

pith:2013:R5IG5Z7P277QCPFEQ2KHMBAXAR

not attested not anchored not stored refs pending

Null controllability of the heat equation using flatness

Lionel Rosier, Philippe Martin, Pierre Rouchon

arxiv:1310.6179 v1 · 2013-10-23 · 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{R5IG5Z7P277QCPFEQ2KHMBAXAR}

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	2026-05-18T03:09:21.132827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f506ee7efd7ff013ca48694760417047ba10700df5a1702e0869389946318c9

Aliases

arxiv: 1310.6179 · arxiv_version: 1310.6179v1 · doi: 10.48550/arxiv.1310.6179 · pith_short_12: R5IG5Z7P277Q · pith_short_16: R5IG5Z7P277QCPFE · pith_short_8: R5IG5Z7P

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/R5IG5Z7P277QCPFEQ2KHMBAXAR \
  | 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: 8f506ee7efd7ff013ca48694760417047ba10700df5a1702e0869389946318c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1c059af7faf94c36f7704498dc1a7520448c933b841f14e0af1c343b8b65560",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-10-23T11:00:27Z",
    "title_canon_sha256": "1e51ba88e6d86b2e55732d16c568ec5c6bbcc65e89188b51a4a8740369ac7e8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6179",
    "kind": "arxiv",
    "version": 1
  }
}