Pith Number

pith:REC5A7MC

pith:2016:REC5A7MCESQK7IX3NA53RW4N3G

not attested not anchored not stored refs pending

Effective dynamics of the nonlinear Schr\"odinger equation on large domains

Jalal Shatah, Pierre Germain, Tristan Buckmaster, Zaher Hani

arxiv:1610.03824 v1 · 2016-10-12 · 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{REC5A7MCESQK7IX3NA53RW4N3G}

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	2026-05-18T01:02:29.145122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8905d07d8224a0afa2fb683bb8db8dd9ab82b88d83444fca90803ecb4e5e9431

Aliases

arxiv: 1610.03824 · arxiv_version: 1610.03824v1 · doi: 10.48550/arxiv.1610.03824 · pith_short_12: REC5A7MCESQK · pith_short_16: REC5A7MCESQK7IX3 · pith_short_8: REC5A7MC

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/REC5A7MCESQK7IX3NA53RW4N3G \
  | 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: 8905d07d8224a0afa2fb683bb8db8dd9ab82b88d83444fca90803ecb4e5e9431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e08c089ab47180ce7b8d2aa0c3a54ecb07725d2976a5388f1db2ba8bf9c5d9cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-12T18:59:06Z",
    "title_canon_sha256": "a475cd0c5e3cfba4c8fc9dfb60f2593e58da68ca4a468d868dbc99d151953510"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03824",
    "kind": "arxiv",
    "version": 1
  }
}