Pith Number

pith:DHAZZMDB

pith:2006:DHAZZMDBVFZ36DB22HSWFWXAB4

not attested not anchored not stored refs pending

Scattering theory for radial nonlinear Schr\"{o}dinger equations on hyperbolic space

Gigliola Staffilani (MIT), R\'emi Carles (MAB), Valeria Banica (DP)

arxiv:math/0607186 v2 · 2006-07-07 · 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{DHAZZMDBVFZ36DB22HSWFWXAB4}

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	2026-05-18T01:08:50.097150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19c19cb061a973bf0c3ad1e562dae00f164c5cc250ad71e4667c7c57d5cc7d51

Aliases

arxiv: math/0607186 · arxiv_version: math/0607186v2 · doi: 10.48550/arxiv.math/0607186 · pith_short_12: DHAZZMDBVFZ3 · pith_short_16: DHAZZMDBVFZ36DB2 · pith_short_8: DHAZZMDB

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/DHAZZMDBVFZ36DB22HSWFWXAB4 \
  | 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: 19c19cb061a973bf0c3ad1e562dae00f164c5cc250ad71e4667c7c57d5cc7d51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "658680c56f81c746804a60eb5ebd023f27c4e936aac5132cfec2cb19ad5fc153",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-07-07T10:14:25Z",
    "title_canon_sha256": "33e8f3f7ce9d7c8d694a1aa18cef7a491f751b7ec2a6e806a419d89cee4f6ae9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607186",
    "kind": "arxiv",
    "version": 2
  }
}