Pith Number

pith:LAX4UVOA

pith:2018:LAX4UVOA7KFR4D3TBOG6TMVCKA

not attested not anchored not stored refs pending

Reducibility for wave equations of finitely smooth potential with periodic boundary conditions

Bing Xie, Jing Li, Yingte Sun

arxiv:1802.08133 v1 · 2018-02-16 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LAX4UVOA7KFR4D3TBOG6TMVCKA}

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	2026-05-18T00:22:45.455922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

582fca55c0fa8b1e0f730b8de9b2a25037494515ed700825192173c6cadd7b78

Aliases

arxiv: 1802.08133 · arxiv_version: 1802.08133v1 · doi: 10.48550/arxiv.1802.08133 · pith_short_12: LAX4UVOA7KFR · pith_short_16: LAX4UVOA7KFR4D3T · pith_short_8: LAX4UVOA

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/LAX4UVOA7KFR4D3TBOG6TMVCKA \
  | 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: 582fca55c0fa8b1e0f730b8de9b2a25037494515ed700825192173c6cadd7b78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c5403cb04d25ccf8b9023040b3ef28bd107273ee47dfa840d70c3c1521e6dea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-02-16T03:11:05Z",
    "title_canon_sha256": "a7f5d85e6bd06859257390993ae78d47033fcd1caa7ef4dfaa6efddef55c7613"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08133",
    "kind": "arxiv",
    "version": 1
  }
}