Pith Number

pith:YAIUVUGZ

pith:2013:YAIUVUGZPES6TD3I3FQZBVC34B

not attested not anchored not stored refs pending

Null Controllability of the 2D Heat Equation Using Flatness

Lionel Rosier, Philippe Martin, Pierre Rouchon

arxiv:1304.5426 v1 · 2013-04-19 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YAIUVUGZPES6TD3I3FQZBVC34B}

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	2026-05-18T03:27:33.539577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0114ad0d97925e98f68d96190d45be04cebd73465da55fb240ea5272b688935

Aliases

arxiv: 1304.5426 · arxiv_version: 1304.5426v1 · doi: 10.48550/arxiv.1304.5426 · pith_short_12: YAIUVUGZPES6 · pith_short_16: YAIUVUGZPES6TD3I · pith_short_8: YAIUVUGZ

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/YAIUVUGZPES6TD3I3FQZBVC34B \
  | 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: c0114ad0d97925e98f68d96190d45be04cebd73465da55fb240ea5272b688935

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8270abf6682cbde37612f86cba10a159f1935adb04f5da2b5a1884dd6cbb0fab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-04-19T14:21:00Z",
    "title_canon_sha256": "46a256c4f07c7c95005080811672ba712a497b5e8092591b81fabaf80d23ced3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5426",
    "kind": "arxiv",
    "version": 1
  }
}