Pith Number

pith:HG4Z5YZW

pith:2018:HG4Z5YZWK2Z4WYZSY7J27GAVJC

not attested not anchored not stored refs pending

Dispersive estimates for the wave equation on Riemannian manifolds of bounded curvature

Hart F. Smith, Yuanlong Chen

arxiv:1808.01389 v1 · 2018-08-03 · 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{HG4Z5YZWK2Z4WYZSY7J27GAVJC}

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	2026-05-17T23:59:52.023365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39b99ee33656b3cb6332c7d3af981548a4ad21f1756c4c12de5698dbc611eb80

Aliases

arxiv: 1808.01389 · arxiv_version: 1808.01389v1 · doi: 10.48550/arxiv.1808.01389 · pith_short_12: HG4Z5YZWK2Z4 · pith_short_16: HG4Z5YZWK2Z4WYZS · pith_short_8: HG4Z5YZW

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/HG4Z5YZWK2Z4WYZSY7J27GAVJC \
  | 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: 39b99ee33656b3cb6332c7d3af981548a4ad21f1756c4c12de5698dbc611eb80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c86b7e81fb6c28979b23097aee0478a0157aeeef18977f12ce5fe0d83b212921",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-03T23:29:50Z",
    "title_canon_sha256": "1225acf57238f54d541aa51bec69294dffda839739002acb12b9b12d34b8a62f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01389",
    "kind": "arxiv",
    "version": 1
  }
}