Pith Number

pith:R6ZX7L7E

pith:2023:R6ZX7L7EBQV5YASBC3PBMPFE3N

not attested not anchored not stored refs pending

Quantitative observability for one-dimensional Schr\"odinger equations with potentials

Chenmin Sun, Pei Su, Xu Yuan

arxiv:2309.00963 v1 · 2023-09-02 · math.AP · 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{R6ZX7L7EBQV5YASBC3PBMPFE3N}

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	2026-07-05T06:47:30.267032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fb37fafe40c2bdc024116de163ca4db54de705f25e367c93e39e9a469f63287

Aliases

arxiv: 2309.00963 · arxiv_version: 2309.00963v1 · doi: 10.48550/arxiv.2309.00963 · pith_short_12: R6ZX7L7EBQV5 · pith_short_16: R6ZX7L7EBQV5YASB · pith_short_8: R6ZX7L7E

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/R6ZX7L7EBQV5YASBC3PBMPFE3N \
  | 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: 8fb37fafe40c2bdc024116de163ca4db54de705f25e367c93e39e9a469f63287

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa9112705f85aaa5e22283dd9a8ba6fea7177a28c3e8f481bcef1d4ee052faba",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-09-02T15:16:12Z",
    "title_canon_sha256": "37417e360c499deeb92aeefb002d3103bbacf1548180631b8a2b394b5b5ff17c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.00963",
    "kind": "arxiv",
    "version": 1
  }
}