Pith Number

pith:LIUMFKZW

pith:2011:LIUMFKZWQZJFJRYMQE4NKB7UVQ

not attested not anchored not stored refs pending

Inverse scattering problems for the Hartree equation whose interaction potential decays rapidly

Hironobu Sasaki

arxiv:1108.1450 v1 · 2011-08-06 · 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{LIUMFKZWQZJFJRYMQE4NKB7UVQ}

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	2026-05-18T04:16:01.017019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a28c2ab36865254c70c8138d507f4ac3012c944a42dba32565cabb78ba21b6c

Aliases

arxiv: 1108.1450 · arxiv_version: 1108.1450v1 · doi: 10.48550/arxiv.1108.1450 · pith_short_12: LIUMFKZWQZJF · pith_short_16: LIUMFKZWQZJFJRYM · pith_short_8: LIUMFKZW

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/LIUMFKZWQZJFJRYMQE4NKB7UVQ \
  | 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: 5a28c2ab36865254c70c8138d507f4ac3012c944a42dba32565cabb78ba21b6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "593d3f740dad1763126746b307ea0d2fa0e970518837399eacb2ab14c7f7302b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-08-06T05:17:15Z",
    "title_canon_sha256": "43a57af8a5d0c15e860f7755c90bb6eab1d92f42ecf8c04ec12f5fbf2478bd6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1450",
    "kind": "arxiv",
    "version": 1
  }
}