Pith Number

pith:YVEHF2HA

pith:2019:YVEHF2HAJNF55QYKK4CO46DILX

not attested not anchored not stored refs pending

Strichartz estimates for the one-dimensional wave equation

Irfan Glogi\'c, Roland Donninger

arxiv:1908.02157 v2 · 2019-08-06 · 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{YVEHF2HAJNF55QYKK4CO46DILX}

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	2026-07-05T00:26:09.592329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c54872e8e04b4bdec30a5704ee78685dc0a3bae94291a68afa8f03afd805d7ea

Aliases

arxiv: 1908.02157 · arxiv_version: 1908.02157v2 · doi: 10.48550/arxiv.1908.02157 · pith_short_12: YVEHF2HAJNF5 · pith_short_16: YVEHF2HAJNF55QYK · pith_short_8: YVEHF2HA

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/YVEHF2HAJNF55QYKK4CO46DILX \
  | 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: c54872e8e04b4bdec30a5704ee78685dc0a3bae94291a68afa8f03afd805d7ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25b81bca35f486a2480f2a8fc4953cbe0a88375ebd4b9568e4d57296fb7870cd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-06T13:42:58Z",
    "title_canon_sha256": "44776774f8211913a93ccb53087461f318efa0f708b3f6461927dbb300a7deb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02157",
    "kind": "arxiv",
    "version": 2
  }
}