Pith Number

pith:WPXN3FKX

pith:2018:WPXN3FKXUHS2FSFX5M6B25TGLQ

not attested not anchored not stored refs pending

Long time dynamics of Schr\"odinger and wave equations on flat tori

Alberto Maspero, Massimiliano Berti

arxiv:1811.06714 v2 · 2018-11-16 · 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{WPXN3FKXUHS2FSFX5M6B25TGLQ}

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	2026-05-17T23:58:47.310150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3eedd9557a1e5a2c8b7eb3c1d76665c38359172b947c807d5d0d644f85d5fbd

Aliases

arxiv: 1811.06714 · arxiv_version: 1811.06714v2 · doi: 10.48550/arxiv.1811.06714 · pith_short_12: WPXN3FKXUHS2 · pith_short_16: WPXN3FKXUHS2FSFX · pith_short_8: WPXN3FKX

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/WPXN3FKXUHS2FSFX5M6B25TGLQ \
  | 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: b3eedd9557a1e5a2c8b7eb3c1d76665c38359172b947c807d5d0d644f85d5fbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e0125a9621527182b8a678c05a74548696f36332698454e2adf586938537f16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-11-16T09:13:43Z",
    "title_canon_sha256": "eea73719dbc9b449cf1dc1ed7ecf75758da2efeb095ca511a6cbcee1eee3c670"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06714",
    "kind": "arxiv",
    "version": 2
  }
}