Pith Number

pith:R5KPROAB

pith:2011:R5KPROABQAKIEAQ5LVTYZR72CH

not attested not anchored not stored refs pending

Second-order hyperbolic Fuchsian systems. Asymptotic behavior of geodesics in Gowdy spacetimes

Florian Beyer, Philippe G. LeFloch

arxiv:1108.4718 v3 · 2011-08-23 · gr-qc · 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{R5KPROABQAKIEAQ5LVTYZR72CH}

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	2026-05-18T02:00:48.973137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f54f8b801801482021d5d678cc7fa11cbe38e0ee34efe4d9177f7752d238854

Aliases

arxiv: 1108.4718 · arxiv_version: 1108.4718v3 · doi: 10.48550/arxiv.1108.4718 · pith_short_12: R5KPROABQAKI · pith_short_16: R5KPROABQAKIEAQ5 · pith_short_8: R5KPROAB

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/R5KPROABQAKIEAQ5LVTYZR72CH \
  | 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: 8f54f8b801801482021d5d678cc7fa11cbe38e0ee34efe4d9177f7752d238854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57227e8e36528a45b1c3b56b72d380c2d97ecec59b1bd1b51a2054275b101e84",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-08-23T23:28:14Z",
    "title_canon_sha256": "f6f4ca49b5a4cf5603ee93c8999f5f5bb2db180316473a676085ec2cf5fbafe2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4718",
    "kind": "arxiv",
    "version": 3
  }
}