Pith Number

pith:RX2U7XGN

pith:2015:RX2U7XGNB5RUWQ5KWE5TPCKZ2V

not attested not anchored not stored refs pending

Probabilistic preservation of regularity for periodic nonlinear Schr\"odinger equations

Andrea R. Nahmod, Gigliola Staffilani

arxiv:1507.07320 v3 · 2015-07-27 · 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{RX2U7XGNB5RUWQ5KWE5TPCKZ2V}

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	2026-05-18T00:50:01.966095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8df54fdccd0f634b43aab13b378959d562f79831bf4385b1480c4deee6e829ed

Aliases

arxiv: 1507.07320 · arxiv_version: 1507.07320v3 · doi: 10.48550/arxiv.1507.07320 · pith_short_12: RX2U7XGNB5RU · pith_short_16: RX2U7XGNB5RUWQ5K · pith_short_8: RX2U7XGN

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/RX2U7XGNB5RUWQ5KWE5TPCKZ2V \
  | 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: 8df54fdccd0f634b43aab13b378959d562f79831bf4385b1480c4deee6e829ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9291b0304acbd9e98b59dc66199e44be4add0ed1aa11d58f02bfa155440755da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-27T07:49:42Z",
    "title_canon_sha256": "b370c15c2f91b19429181abd152e72a88e4bc2fc0deb4437268da56438901048"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07320",
    "kind": "arxiv",
    "version": 3
  }
}