Pith Number

pith:ZF7Z57DW

pith:2011:ZF7Z57DW5ZSIM334W5D7R4PHQD

not attested not anchored not stored refs pending

Analysis of Hartree equation with an interaction growing at the spatial infinity

Satoshi Masaki

arxiv:1103.3083 v2 · 2011-03-16 · 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{ZF7Z57DW5ZSIM334W5D7R4PHQD}

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	2026-05-18T02:48:24.868482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c97f9efc76ee64866f7cb747f8f1e780d98381d94ff70c83e38f1b9351b40bbc

Aliases

arxiv: 1103.3083 · arxiv_version: 1103.3083v2 · doi: 10.48550/arxiv.1103.3083 · pith_short_12: ZF7Z57DW5ZSI · pith_short_16: ZF7Z57DW5ZSIM334 · pith_short_8: ZF7Z57DW

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/ZF7Z57DW5ZSIM334W5D7R4PHQD \
  | 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: c97f9efc76ee64866f7cb747f8f1e780d98381d94ff70c83e38f1b9351b40bbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ec499732c18db727a4da9f5cd742d9aaab5757aae4d74b86337ad1e513c2fc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-16T03:11:42Z",
    "title_canon_sha256": "c3159ad2f5e1ec5e6b16d9375bbd197df90d5dda020b735965112a10d9390aad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3083",
    "kind": "arxiv",
    "version": 2
  }
}