Pith Number

pith:WRJ7OPR6

pith:2012:WRJ7OPR6ML6TS3TBLX6QOMQY47

not attested not anchored not stored refs pending

Eigenmodes of the damped wave equation and small hyperbolic subsets

Gabriel Riviere, St\'ephane Nonnenmacher (IPHT)

arxiv:1202.5123 v3 · 2012-02-23 · math.AP · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRJ7OPR6ML6TS3TBLX6QOMQY47}

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	2026-05-18T00:57:44.606898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b453f73e3e62fd396e615dfd073218e7c35a8cdd4b7a62eca56077cc0f42216f

Aliases

arxiv: 1202.5123 · arxiv_version: 1202.5123v3 · doi: 10.48550/arxiv.1202.5123 · pith_short_12: WRJ7OPR6ML6T · pith_short_16: WRJ7OPR6ML6TS3TB · pith_short_8: WRJ7OPR6

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/WRJ7OPR6ML6TS3TBLX6QOMQY47 \
  | 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: b453f73e3e62fd396e615dfd073218e7c35a8cdd4b7a62eca56077cc0f42216f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbef5dff13528606448358b799c624dd6e9d78f8353b9da08d97819974c2e8d3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-23T09:15:46Z",
    "title_canon_sha256": "a47fd6b084aae455497a068b04623113e2dbe8b4eb187ddac94493137515add7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5123",
    "kind": "arxiv",
    "version": 3
  }
}