Pith Number

pith:T4HLYQHN

pith:2012:T4HLYQHNBNVGO6N4GZEUZ4AGIQ

not attested not anchored not stored refs pending

Schr\"odinger-Poisson equations with singular potentials in $R^3$

Huan-Song Zhou, Yongsheng Jiang

arxiv:1204.1825 v1 · 2012-04-09 · 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{T4HLYQHNBNVGO6N4GZEUZ4AGIQ}

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	2026-05-18T02:51:50.347083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f0ebc40ed0b6a6779bc36494cf0064415d672760cf09cca825e5bbc4f4c9ba5

Aliases

arxiv: 1204.1825 · arxiv_version: 1204.1825v1 · doi: 10.48550/arxiv.1204.1825 · pith_short_12: T4HLYQHNBNVG · pith_short_16: T4HLYQHNBNVGO6N4 · pith_short_8: T4HLYQHN

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/T4HLYQHNBNVGO6N4GZEUZ4AGIQ \
  | 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: 9f0ebc40ed0b6a6779bc36494cf0064415d672760cf09cca825e5bbc4f4c9ba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6de031424bdc3b32928b39f23b3d14663d7f0e176840cc60e6aa8337e62738db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-09T08:25:57Z",
    "title_canon_sha256": "56175ff7692a45addef54f23d9a8f5d671e36d5f6e85fa8654f44e4303c72bcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1825",
    "kind": "arxiv",
    "version": 1
  }
}