Pith Number

pith:WXZZVDCE

pith:2015:WXZZVDCE4RLRGXQTPNW2I6HNH6

not attested not anchored not stored refs pending

Optimal regularity and long-time behavior of solutions for the Westervelt equation

Mathias Wilke, Stefan Meyer

arxiv:1502.05816 v1 · 2015-02-20 · 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{WXZZVDCE4RLRGXQTPNW2I6HNH6}

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	2026-05-18T02:26:44.730616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5f39a8c44e457135e137b6da478ed3f982b1ec656235da05f24a66c58b272ec

Aliases

arxiv: 1502.05816 · arxiv_version: 1502.05816v1 · doi: 10.48550/arxiv.1502.05816 · pith_short_12: WXZZVDCE4RLR · pith_short_16: WXZZVDCE4RLRGXQT · pith_short_8: WXZZVDCE

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/WXZZVDCE4RLRGXQTPNW2I6HNH6 \
  | 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: b5f39a8c44e457135e137b6da478ed3f982b1ec656235da05f24a66c58b272ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c9fb93200fbca7be1c4b6ee3e7260fdb3e2f04c1a008adebea1429637d1ca78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-20T10:06:15Z",
    "title_canon_sha256": "cde57b46e34fc8a0f75dda1eb5e80808388dd155ae30456efaee7e01ac73af4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05816",
    "kind": "arxiv",
    "version": 1
  }
}