Pith Number

pith:CK6KFEVA

pith:2014:CK6KFEVAYFTINNYAEDMNKPMHKN

not attested not anchored not stored refs pending

Variants of the focusing NLS equation. Derivation, justification and open problems related to filamentation

David Lannes (DMA), Eric Dumas (IF), Jeremie Szeftel (LJLL)

arxiv:1405.7308 v2 · 2014-05-28 · 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{CK6KFEVAYFTINNYAEDMNKPMHKN}

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	2026-05-18T02:49:02.996786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12bca292a0c16686b70020d8d53d875340d4c8ae77d7d666ba869f596a8b79de

Aliases

arxiv: 1405.7308 · arxiv_version: 1405.7308v2 · doi: 10.48550/arxiv.1405.7308 · pith_short_12: CK6KFEVAYFTI · pith_short_16: CK6KFEVAYFTINNYA · pith_short_8: CK6KFEVA

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/CK6KFEVAYFTINNYAEDMNKPMHKN \
  | 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: 12bca292a0c16686b70020d8d53d875340d4c8ae77d7d666ba869f596a8b79de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dcde04207da9ec84e60efe1b749bc62fc15a759dc5b40faf51105a1437d49bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-05-28T17:17:10Z",
    "title_canon_sha256": "f3023e616e1be57615b3fe92b7c0e90be305aab6161bcc1134a045b1ca1283d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.7308",
    "kind": "arxiv",
    "version": 2
  }
}