Pith Number

pith:AVWJ762M

pith:2026:AVWJ762M2D3Q3RP6QIZR7QXORK

not attested not anchored not stored refs pending

The $L^2$ contraction of solutions with large perturbation in multiple space dimensions from the oscillatory dispersive planar shock

Geng Chen, Harish Ravichandar, Yannan Shen

arxiv:2607.27118 v1 · 2026-07-29 · 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{AVWJ762M2D3Q3RP6QIZR7QXORK}

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	2026-07-30T01:23:37.854492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

056c9ffb4cd0f70dc5fe82331fc2ee8aa18167a8d3eb72ead9fc076a24272348

Aliases

arxiv: 2607.27118 · arxiv_version: 2607.27118v1 · doi: 10.48550/arxiv.2607.27118 · pith_short_12: AVWJ762M2D3Q · pith_short_16: AVWJ762M2D3Q3RP6 · pith_short_8: AVWJ762M

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/AVWJ762M2D3Q3RP6QIZR7QXORK \
  | 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: 056c9ffb4cd0f70dc5fe82331fc2ee8aa18167a8d3eb72ead9fc076a24272348

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cf43dc22239ae11e483e4b204218a5bff8a20a10f01d05f32482a8c837336df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-29T16:46:09Z",
    "title_canon_sha256": "df61cfd137e78995eb4ad8afb80cccb8808375e07b38ee6a8823424624a7f834"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27118",
    "kind": "arxiv",
    "version": 1
  }
}