Pith Number

pith:FIXFEZTF

pith:2015:FIXFEZTFUGLWVYYGRKKOXLGWAI

not attested not anchored not stored refs pending

Modified scattering for the cubic Schr{\"o}dinger equation on product spaces: the nonresonant case

Beno\^it Gr\'ebert (LMJL), Eric Paturel (LMJL), Laurent Thomann (LMJL)

arxiv:1502.07699 v2 · 2015-02-26 · 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{FIXFEZTFUGLWVYYGRKKOXLGWAI}

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	2026-05-18T01:55:42.022135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a2e526665a1976ae3068a94ebacd60239536629af221b5f71ae10a67cd4697a

Aliases

arxiv: 1502.07699 · arxiv_version: 1502.07699v2 · doi: 10.48550/arxiv.1502.07699 · pith_short_12: FIXFEZTFUGLW · pith_short_16: FIXFEZTFUGLWVYYG · pith_short_8: FIXFEZTF

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/FIXFEZTFUGLWVYYGRKKOXLGWAI \
  | 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: 2a2e526665a1976ae3068a94ebacd60239536629af221b5f71ae10a67cd4697a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76545389b77a9c541e339b09f339bbe77fe202afa3b55321622587b8c86ea730",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-26T19:49:00Z",
    "title_canon_sha256": "383a576df5930b42ed67853d84d3890ebffcb7c9fdeaf9eede56a9f4b530d36e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07699",
    "kind": "arxiv",
    "version": 2
  }
}