Pith Number

pith:FI4LL3BD

pith:2026:FI4LL3BDLBMPDGFGL6FPDW5X7N

not attested not anchored not stored refs pending

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation

Qirui Peng

arxiv:2608.07866 v1 · 2026-08-08 · 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{FI4LL3BDLBMPDGFGL6FPDW5X7N}

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	2026-08-11T01:18:45.911124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a38b5ec235858f198a65f8af1dbb7fb7654c5932e15bcb65fb158a1f9fce7b4

Aliases

arxiv: 2608.07866 · arxiv_version: 2608.07866v1 · doi: 10.48550/arxiv.2608.07866 · pith_short_12: FI4LL3BDLBMP · pith_short_16: FI4LL3BDLBMPDGFG · pith_short_8: FI4LL3BD

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/FI4LL3BDLBMPDGFGL6FPDW5X7N \
  | 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: 2a38b5ec235858f198a65f8af1dbb7fb7654c5932e15bcb65fb158a1f9fce7b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56953687c20eb16f8ac36b3bc285a9d367cc73e3b24edddb7e46376b90f8ca6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-08T02:37:42Z",
    "title_canon_sha256": "d51570d137259638ba8d838fe2012ae53e3b465921fb973d93bf24a947fac741"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07866",
    "kind": "arxiv",
    "version": 1
  }
}