Pith Number

pith:RZYXLT7V

pith:2008:RZYXLT7VARZ2AGS55TVGUHERJN

not attested not anchored not stored refs pending

On Stability of Pseudo-Conformal Blowup for L^2-critical Hartree NLS

Enno Lenzmann, Joachim Krieger, Pierre Raphael

arxiv:0808.2324 v1 · 2008-08-18 · 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{RZYXLT7VARZ2AGS55TVGUHERJN}

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	2026-05-18T04:07:29.489624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e7175cff50473a01a5decea6a1c914b5a74e4df453cbcc0374cd95a3bd94c9e

Aliases

arxiv: 0808.2324 · arxiv_version: 0808.2324v1 · doi: 10.48550/arxiv.0808.2324 · pith_short_12: RZYXLT7VARZ2 · pith_short_16: RZYXLT7VARZ2AGS5 · pith_short_8: RZYXLT7V

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/RZYXLT7VARZ2AGS55TVGUHERJN \
  | 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: 8e7175cff50473a01a5decea6a1c914b5a74e4df453cbcc0374cd95a3bd94c9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "901705bf961323b1d43d614cbe7e0e845071742c09ce7dc1a088abef3140ec8e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-08-18T00:39:50Z",
    "title_canon_sha256": "4306ce3bf34b53609d74e0e64a84f06a660a8277f813c26adfda2da5f797d8c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2324",
    "kind": "arxiv",
    "version": 1
  }
}