Pith Number

pith:F76Z22IZ

pith:2013:F76Z22IZE3XAXXRNCDBBSDAVJA

not attested not anchored not stored refs pending

An application of a conjecture due to Ervedoza and Zuazua concerning the observability of the heat equation in small time to a conjecture due to Coron and Guerrero concerning the uniform controllability of a convection-diffusion equation

Pierre Lissy

arxiv:1310.4355 v1 · 2013-10-16 · 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{F76Z22IZE3XAXXRNCDBBSDAVJA}

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	2026-05-18T03:10:23.071873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ffd9d691926ee0bde2d10c2190c15480768a596b84fcdde7b168d6d02982bc8

Aliases

arxiv: 1310.4355 · arxiv_version: 1310.4355v1 · doi: 10.48550/arxiv.1310.4355 · pith_short_12: F76Z22IZE3XA · pith_short_16: F76Z22IZE3XAXXRN · pith_short_8: F76Z22IZ

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/F76Z22IZE3XAXXRNCDBBSDAVJA \
  | 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: 2ffd9d691926ee0bde2d10c2190c15480768a596b84fcdde7b168d6d02982bc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a88e3248f57efda8179beb3eda97289eef49e64c2484165900d0841edce33dff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-10-16T12:50:50Z",
    "title_canon_sha256": "2ce13e04076dd4a6007ec8d85576deec18705149402af4ebd2b768df150ce76b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4355",
    "kind": "arxiv",
    "version": 1
  }
}