Pith Number

pith:PCG7WZSI

pith:2025:PCG7WZSIKG4KQWZCNDCLZZBUFH

not attested not anchored not stored refs pending

On almost periodic solutions to NLS without external parameters

Beno\^it Gr\'ebert (Nantes Univ), Joackim Bernier (Nantes Univ)

arxiv:2505.10051 v1 · 2025-05-15 · math.AP · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCG7WZSIKG4KQWZCNDCLZZBUFH}

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	2026-07-05T11:03:32.450799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

788dfb664851b8a85b2268c4bce43429c002a3a042dcb6261cfae84ada69678e

Aliases

arxiv: 2505.10051 · arxiv_version: 2505.10051v1 · doi: 10.48550/arxiv.2505.10051 · pith_short_12: PCG7WZSIKG4K · pith_short_16: PCG7WZSIKG4KQWZC · pith_short_8: PCG7WZSI

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/PCG7WZSIKG4KQWZCNDCLZZBUFH \
  | 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: 788dfb664851b8a85b2268c4bce43429c002a3a042dcb6261cfae84ada69678e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca78e10cd48bf2f8f5f1b9647f7fba37aa7f787a5b07d0fe299d5b291d1641bb",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-15T07:54:59Z",
    "title_canon_sha256": "03a990b31fa89033f1a0bbffeff8cf99f2242a28228019c302c7384d0fe29792"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.10051",
    "kind": "arxiv",
    "version": 1
  }
}