Pith Number

pith:XUWUIGPG

pith:2008:XUWUIGPGOCV7LE6LW7P6QMSNMU

not attested not anchored not stored refs pending

Analyticity of the scattering operator for semilinear dispersive equations

Isabelle Gallagher (IMJ), R\'emi Carles (I3M)

arxiv:0801.3774 v1 · 2008-01-24 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XUWUIGPGOCV7LE6LW7P6QMSNMU}

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	2026-07-04T15:37:42.508473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd2d4419e670abf593cbb7dfe8324d6533fc8f1d35d9d03e2c63e9c81e6f1b5b

Aliases

arxiv: 0801.3774 · arxiv_version: 0801.3774v1 · doi: 10.48550/arxiv.0801.3774 · pith_short_12: XUWUIGPGOCV7 · pith_short_16: XUWUIGPGOCV7LE6L · pith_short_8: XUWUIGPG

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/XUWUIGPGOCV7LE6LW7P6QMSNMU \
  | 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: bd2d4419e670abf593cbb7dfe8324d6533fc8f1d35d9d03e2c63e9c81e6f1b5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "526b6690564e1ed95ef4afc173b3730bf1d08a9ebd62ca3fa4082e768601a4d4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2008-01-24T14:50:01Z",
    "title_canon_sha256": "70cda0313b5863e19427d7ac931f2a12240818d33de80319978fa535c76fa833"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.3774",
    "kind": "arxiv",
    "version": 1
  }
}