Pith Number

pith:GJQVOC24

pith:2010:GJQVOC24S7WBDCI6FRLRR5OJ7V

not attested not anchored not stored refs pending

A necessary and sufficient condition on scattering for the regularly hyperbolic systems

Michael Ruzhansky, Tokio Matsuyama

arxiv:1008.4644 v1 · 2010-08-27 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJQVOC24S7WBDCI6FRLRR5OJ7V}

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	2026-05-18T02:30:32.941509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3261570b5c97ec11891e2c5718f5c9fd5ca1644b3c389462071f97b9ab88fd13

Aliases

arxiv: 1008.4644 · arxiv_version: 1008.4644v1 · doi: 10.48550/arxiv.1008.4644 · pith_short_12: GJQVOC24S7WB · pith_short_16: GJQVOC24S7WBDCI6 · pith_short_8: GJQVOC24

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/GJQVOC24S7WBDCI6FRLRR5OJ7V \
  | 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: 3261570b5c97ec11891e2c5718f5c9fd5ca1644b3c389462071f97b9ab88fd13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbb4fdae3ee95594f075029b134f925acd487d081eebb264bd21e85420e1db54",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-08-27T05:20:37Z",
    "title_canon_sha256": "cf20ffb9ac679889ac6605849ed81c8ae347bf7579900ef204dd4ba38f5d6c43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4644",
    "kind": "arxiv",
    "version": 1
  }
}