Pith Number

pith:5I4TKL33

pith:2024:5I4TKL33S6XHXOPMXO76VQOC2H

not attested not anchored not stored refs pending

Normalized solutions to Schr\"{o}dinger systems with potentials

Zhaoyang Yun

arxiv:2406.13204 v1 · 2024-06-19 · 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{5I4TKL33S6XHXOPMXO76VQOC2H}

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	2026-07-05T08:34:26.725518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea39352f7b97ae7bb9ecbbbfeac1c2d1faa88bca00cdfe707a14a224c43538ff

Aliases

arxiv: 2406.13204 · arxiv_version: 2406.13204v1 · doi: 10.48550/arxiv.2406.13204 · pith_short_12: 5I4TKL33S6XH · pith_short_16: 5I4TKL33S6XHXOPM · pith_short_8: 5I4TKL33

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/5I4TKL33S6XHXOPMXO76VQOC2H \
  | 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: ea39352f7b97ae7bb9ecbbbfeac1c2d1faa88bca00cdfe707a14a224c43538ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d651b8fdb4294fa96dab63c7f8b953a4f6f19be97449fe90041b134b1873f9f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-06-19T04:23:28Z",
    "title_canon_sha256": "eb7f624f309e66fdba7d9ac6d21b2ca67f1b733d758df2a7a89eef853c97a832"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.13204",
    "kind": "arxiv",
    "version": 1
  }
}