Pith Number

pith:UMI6OWXF

pith:2018:UMI6OWXFQACVKOYLBYC42GHDRW

not attested not anchored not stored refs pending

Revisiting the Decoupling of Elastic Waves From a Weak Formulation Perspective

Hongyu Liu, Jingni Xiao, Junjiang Lai, Yifeng Xu

arxiv:1808.03133 v1 · 2018-08-09 · 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{UMI6OWXFQACVKOYLBYC42GHDRW}

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	2026-05-17T23:46:09.560999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a311e75ae58005553b0b0e05cd18e38d845a3033b2c9e895e4566dacf724b64e

Aliases

arxiv: 1808.03133 · arxiv_version: 1808.03133v1 · doi: 10.48550/arxiv.1808.03133 · pith_short_12: UMI6OWXFQACV · pith_short_16: UMI6OWXFQACVKOYL · pith_short_8: UMI6OWXF

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/UMI6OWXFQACVKOYLBYC42GHDRW \
  | 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: a311e75ae58005553b0b0e05cd18e38d845a3033b2c9e895e4566dacf724b64e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e1f5aefaca3e6833681a9a1e0ef47bd59114ecf6990bf1ef540340035af0c33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-09T12:59:39Z",
    "title_canon_sha256": "6077c9607504af6f2b18dd0c5911e41cb964fcf74e5b6b1dc948de7bcf750219"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03133",
    "kind": "arxiv",
    "version": 1
  }
}