Pith Number

pith:QOUPWWF6

pith:2019:QOUPWWF6CC443LWTDHZXFEW2AJ

not attested not anchored not stored refs pending

Decay of small odd solutions for long range Schr\"odinger and Hartree equations in one dimension

Mar\'ia E. Mart\'inez

arxiv:1906.11274 v1 · 2019-06-26 · 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{QOUPWWF6CC443LWTDHZXFEW2AJ}

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	2026-05-17T23:42:07.630270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83a8fb58be10b9cdaed319f37292da026f0dcad6bd4e8ea20e904e418fe842a3

Aliases

arxiv: 1906.11274 · arxiv_version: 1906.11274v1 · doi: 10.48550/arxiv.1906.11274 · pith_short_12: QOUPWWF6CC44 · pith_short_16: QOUPWWF6CC443LWT · pith_short_8: QOUPWWF6

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/QOUPWWF6CC443LWTDHZXFEW2AJ \
  | 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: 83a8fb58be10b9cdaed319f37292da026f0dcad6bd4e8ea20e904e418fe842a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53dd165a28bafe50cf661048de2ff742377a0041f7fd5c6bb02190275c0fb337",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-26T18:05:14Z",
    "title_canon_sha256": "33934dc2efc155ef42ea8f505c8febf1ca105fbeb3f9a8fc45d67f4c811aee98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11274",
    "kind": "arxiv",
    "version": 1
  }
}