Pith Number

pith:57RWTKF6

pith:2017:57RWTKF6LMVLJTDGQC7RY4KBHN

not attested not anchored not stored refs pending

Dispersion for the wave equation outside a ball and counterexamples

Gilles Lebeau (JAD), Oana Ivanovici (JAD)

arxiv:1705.10994 v1 · 2017-05-31 · 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{57RWTKF6LMVLJTDGQC7RY4KBHN}

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	2026-05-18T00:43:19.574962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efe369a8be5b2ab4cc6680bf1c71413b45ef390e3d19b7fb49d04157278a6442

Aliases

arxiv: 1705.10994 · arxiv_version: 1705.10994v1 · doi: 10.48550/arxiv.1705.10994 · pith_short_12: 57RWTKF6LMVL · pith_short_16: 57RWTKF6LMVLJTDG · pith_short_8: 57RWTKF6

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/57RWTKF6LMVLJTDGQC7RY4KBHN \
  | 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: efe369a8be5b2ab4cc6680bf1c71413b45ef390e3d19b7fb49d04157278a6442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfdd021735e84e6f7991ecef0021dcede26955ac8239573475c780ded6673436",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-31T09:04:57Z",
    "title_canon_sha256": "0ce168877cd3c89e05b2b750ee562a3a0f65a4d929294189c007207967bdde16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10994",
    "kind": "arxiv",
    "version": 1
  }
}