Pith Number

pith:QILIW5A2

pith:2022:QILIW5A2ZBHH5YUSFSUVBBH44F

not attested not anchored not stored refs pending

Around the normal derivative lemma

Alexander I. Nazarov, Darya E. Apushkinskaya

arxiv:2206.08043 v1 · 2022-06-16 · 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{QILIW5A2ZBHH5YUSFSUVBBH44F}

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.

Cited by

1 paper in Pith

Dynamic Safety in Complex Environments: Synthesizing Safety Filters with Poisson's Equation

Receipt and verification

First computed	2026-07-05T04:32:21.532079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82168b741ac84e7ee2922ca95084fce1406fcdb233897d2a637040d24df3298a

Aliases

arxiv: 2206.08043 · arxiv_version: 2206.08043v1 · doi: 10.48550/arxiv.2206.08043 · pith_short_12: QILIW5A2ZBHH · pith_short_16: QILIW5A2ZBHH5YUS · pith_short_8: QILIW5A2

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/QILIW5A2ZBHH5YUSFSUVBBH44F \
  | 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: 82168b741ac84e7ee2922ca95084fce1406fcdb233897d2a637040d24df3298a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dbe8cad4de68e6d815e3aaf840f04954cf789e75cfccd0f1903a6febc98c6f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-06-16T09:54:38Z",
    "title_canon_sha256": "4f86cc63a245b8744882a86f4eed1570bf9d38ca0d639fe68b728d9f344bdaaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.08043",
    "kind": "arxiv",
    "version": 1
  }
}