Pith Number

pith:K7KLOFU5

pith:2016:K7KLOFU5S4QWPUPLTUQMMQ67M3

not attested not anchored not stored refs pending

Hardy's uncertainty principle and unique continuation property for stochastic heat equations

Aingeru Fern\'andez-Bertolin, Jie Zhong

arxiv:1605.01490 v1 · 2016-05-05 · 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{K7KLOFU5S4QWPUPLTUQMMQ67M3}

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	2026-05-18T01:15:33.542209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57d4b7169d972167d1eb9d20c643df66cc2e1aba061fba473aa674c42d90dc6c

Aliases

arxiv: 1605.01490 · arxiv_version: 1605.01490v1 · doi: 10.48550/arxiv.1605.01490 · pith_short_12: K7KLOFU5S4QW · pith_short_16: K7KLOFU5S4QWPUPL · pith_short_8: K7KLOFU5

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/K7KLOFU5S4QWPUPLTUQMMQ67M3 \
  | 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: 57d4b7169d972167d1eb9d20c643df66cc2e1aba061fba473aa674c42d90dc6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "694d2fd9994e9191168341340f7b470ddf0cff154622c0d04feddafa6d4cfc19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-05T05:02:01Z",
    "title_canon_sha256": "55d791d0cda4a646a7bf3f6b00bda885e78e0fe23b962d62351617ed62f318f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01490",
    "kind": "arxiv",
    "version": 1
  }
}