Pith Number

pith:LIO7AXMY

pith:2024:LIO7AXMY24MDKF7HQVSL2UR7YK

not attested not anchored not stored refs pending

On the wave equation with variable exponent nonlinearity and distributive delay

Mohammad Kafini

arxiv:2411.15528 v1 · 2024-11-23 · 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{LIO7AXMY24MDKF7HQVSL2UR7YK}

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	2026-07-05T09:39:36.563186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a1df05d98d7183517e78564bd523fc2bf430386a7d26035f7274a4999ff32e8

Aliases

arxiv: 2411.15528 · arxiv_version: 2411.15528v1 · doi: 10.48550/arxiv.2411.15528 · pith_short_12: LIO7AXMY24MD · pith_short_16: LIO7AXMY24MDKF7H · pith_short_8: LIO7AXMY

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/LIO7AXMY24MDKF7HQVSL2UR7YK \
  | 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: 5a1df05d98d7183517e78564bd523fc2bf430386a7d26035f7274a4999ff32e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "910153f17ce790f2358079bb936a3cdbb02817a84d3133d08b68e3a336c38ec2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-23T11:42:28Z",
    "title_canon_sha256": "1b9dc3d05fb3df3e9d2e1d69c1b7f0f771f8c787ec86f8061a305ae079232f4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15528",
    "kind": "arxiv",
    "version": 1
  }
}