Pith Number

pith:END7CSAL

pith:2013:END7CSAL7ZK3TFYPZFBYLNULJK

not attested not anchored not stored refs pending

Some a priori estimates for a critical Schrodinger-Newton equation

Marcelo M. Disconzi

arxiv:1302.3780 v1 · 2013-02-15 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{END7CSAL7ZK3TFYPZFBYLNULJK}

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	2026-05-18T02:55:36.470763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2347f1480bfe55b9970fc94385b68b4a85090fd6e49e0a1b23dd46cb50971545

Aliases

arxiv: 1302.3780 · arxiv_version: 1302.3780v1 · doi: 10.48550/arxiv.1302.3780 · pith_short_12: END7CSAL7ZK3 · pith_short_16: END7CSAL7ZK3TFYP · pith_short_8: END7CSAL

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/END7CSAL7ZK3TFYPZFBYLNULJK \
  | 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: 2347f1480bfe55b9970fc94385b68b4a85090fd6e49e0a1b23dd46cb50971545

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fd82b977075794f0f7d6eb8500af079d91e78968c89d5a69769975b1b641f81",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-15T15:40:54Z",
    "title_canon_sha256": "0bca8bbfcbecbd449205694031f34d0e41a2560547e9ed53f1acf471a6fc249c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3780",
    "kind": "arxiv",
    "version": 1
  }
}