Pith Number

pith:ORQJL6IK

pith:2011:ORQJL6IKX5VGUGZWU5ZP4SBEFR

not attested not anchored not stored refs pending

An observability for parabolic equations from a measurable set in time

Gengsheng Wang, Kim Dang Phung

arxiv:1109.3863 v1 · 2011-09-18 · math.AP · cs.SY · 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{ORQJL6IKX5VGUGZWU5ZP4SBEFR}

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	2026-05-18T04:12:45.721618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

746095f90abf6a6a1b36a772fe48242c68c44983fa3d1927f171a6b193b3fca0

Aliases

arxiv: 1109.3863 · arxiv_version: 1109.3863v1 · doi: 10.48550/arxiv.1109.3863 · pith_short_12: ORQJL6IKX5VG · pith_short_16: ORQJL6IKX5VGUGZW · pith_short_8: ORQJL6IK

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/ORQJL6IKX5VGUGZWU5ZP4SBEFR \
  | 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: 746095f90abf6a6a1b36a772fe48242c68c44983fa3d1927f171a6b193b3fca0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9d11321a76e6784cddc0f2a6cc98fc6be76f060832e17057b472be01fa8e8db",
    "cross_cats_sorted": [
      "cs.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-18T12:05:25Z",
    "title_canon_sha256": "7c748b8ab07b5bc88e8371c4d53ec0a91d5756ae6aaf413b089590c1cb383c9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3863",
    "kind": "arxiv",
    "version": 1
  }
}