Pith Number

pith:Y2BOJMOK

pith:2023:Y2BOJMOK6T3AT6HU2LOFU2UIBG

not attested not anchored not stored refs pending

Pointwise decay for radial solutions of the Schr\"odinger equation with a repulsive Coulomb potential

Adam Black, Bruno Vergara, Ebru Toprak, Jiahua Zou

arxiv:2309.01313 v2 · 2023-09-04 · 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{Y2BOJMOK6T3AT6HU2LOFU2UIBG}

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	2026-07-05T07:41:42.394491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c682e4b1caf4f609f8f4d2dc5a6a8809a6af856d98f5091d9e2d52e810b61ec7

Aliases

arxiv: 2309.01313 · arxiv_version: 2309.01313v2 · doi: 10.48550/arxiv.2309.01313 · pith_short_12: Y2BOJMOK6T3A · pith_short_16: Y2BOJMOK6T3AT6HU · pith_short_8: Y2BOJMOK

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/Y2BOJMOK6T3AT6HU2LOFU2UIBG \
  | 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: c682e4b1caf4f609f8f4d2dc5a6a8809a6af856d98f5091d9e2d52e810b61ec7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a19c7d67d4379e5c55de43574ea043cd6f1b483a363a2adcf437db035372d60e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-09-04T02:02:05Z",
    "title_canon_sha256": "1a95befaafc987050053a345ec74b3de164fc286f2cd47e7d34a0dcffda88044"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.01313",
    "kind": "arxiv",
    "version": 2
  }
}