Pith Number

pith:PJNZQYZI

pith:2014:PJNZQYZI4HERMRKIL2VG4MAPVS

not attested not anchored not stored refs pending

Optimal shape and location of sensors for parabolic equations with random initial data

Emmanuel Tr\'elat (LJLL), Enrique Zuazua (BCAM), Yannick Privat (LJLL)

arxiv:1403.6445 v1 · 2014-03-25 · 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{PJNZQYZI4HERMRKIL2VG4MAPVS}

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	2026-05-18T01:43:51.293272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a5b986328e1c91645485eaa6e300faca3fdf81f34ff17d70bd9a1b9e4b80e56

Aliases

arxiv: 1403.6445 · arxiv_version: 1403.6445v1 · doi: 10.48550/arxiv.1403.6445 · pith_short_12: PJNZQYZI4HER · pith_short_16: PJNZQYZI4HERMRKI · pith_short_8: PJNZQYZI

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/PJNZQYZI4HERMRKIL2VG4MAPVS \
  | 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: 7a5b986328e1c91645485eaa6e300faca3fdf81f34ff17d70bd9a1b9e4b80e56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e31927528f6298449ece9c238d73d7c43f02c95fff815ebc33635cefb12a9df4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-03-25T18:35:41Z",
    "title_canon_sha256": "372d94bd540353f4be3257841cdef61d47cfd0f7a9ca45c2a7d19367ca009520"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6445",
    "kind": "arxiv",
    "version": 1
  }
}