Pith Number

pith:XS6FOFKB

pith:2025:XS6FOFKBHWL7W3AGJPFRMX2F7F

not attested not anchored not stored refs pending

Quantitative observability for the Schr\"{o}dinger equation with an anharmonic oscillator

Gengsheng Wang, Ming Wang, Shanlin Huang

arxiv:2501.01258 v1 · 2025-01-02 · 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{XS6FOFKBHWL7W3AGJPFRMX2F7F}

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

The periodic KdV with control on space-time measurable sets

Receipt and verification

First computed	2026-07-05T09:56:16.941465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcbc5715413d97fb6c064bcb165f45f9775cdcd162ef0f0262051a28fec48e2e

Aliases

arxiv: 2501.01258 · arxiv_version: 2501.01258v1 · doi: 10.48550/arxiv.2501.01258 · pith_short_12: XS6FOFKBHWL7 · pith_short_16: XS6FOFKBHWL7W3AG · pith_short_8: XS6FOFKB

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/XS6FOFKBHWL7W3AGJPFRMX2F7F \
  | 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: bcbc5715413d97fb6c064bcb165f45f9775cdcd162ef0f0262051a28fec48e2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ced531c2e8e603cbd315a91ca964bdce2b8ef1a9ba37037016005c333a04a787",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-01-02T13:53:35Z",
    "title_canon_sha256": "83b39b785da8c33bbcf637b859ef15fd1e3e84c83bfb64776395dc2cc854b32d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.01258",
    "kind": "arxiv",
    "version": 1
  }
}