Pith Number

pith:SOPCZFR4

pith:2013:SOPCZFR4LEEXBJL2CPBKBYI6TK

not attested not anchored not stored refs pending

Resonant averaging for weakly nonlinear stochastic Schr\"odinger equations

Alberto Maiocchi, Sergei Kuksin

arxiv:1309.5022 v5 · 2013-09-19 · 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{SOPCZFR4LEEXBJL2CPBKBYI6TK}

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	2026-05-18T03:06:02.899443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

939e2c963c590970a57a13c2a0e11e9ab6c5751a26cc30aa3199256d15e6158e

Aliases

arxiv: 1309.5022 · arxiv_version: 1309.5022v5 · doi: 10.48550/arxiv.1309.5022 · pith_short_12: SOPCZFR4LEEX · pith_short_16: SOPCZFR4LEEXBJL2 · pith_short_8: SOPCZFR4

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/SOPCZFR4LEEXBJL2CPBKBYI6TK \
  | 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: 939e2c963c590970a57a13c2a0e11e9ab6c5751a26cc30aa3199256d15e6158e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0a339c8b4159f3a3957ceac964c4ee004a421aeeb5580708da8d63cb5da31b0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-19T15:26:39Z",
    "title_canon_sha256": "fdfb8a51318aa6d75a1160a71ca95d7092a0f7404efa89a3be65158caa14d1b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5022",
    "kind": "arxiv",
    "version": 5
  }
}