Pith Number

pith:VMQUPWYJ

pith:2019:VMQUPWYJU5KBFJD6T6KHKHCJ2S

not attested not anchored not stored refs pending

Integrability, exact reductions and special solutions of the KP-Whitham equations

A. Moro, Gino Biondini, Mark A. Hoefer

arxiv:1908.06144 v2 · 2019-08-16 · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMQUPWYJU5KBFJD6T6KHKHCJ2S}

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	2026-07-05T01:29:39.957351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab2147db09a75412a47e9f94751c49d4b38c478c66031b3bc1c030ddd3827cba

Aliases

arxiv: 1908.06144 · arxiv_version: 1908.06144v2 · doi: 10.48550/arxiv.1908.06144 · pith_short_12: VMQUPWYJU5KB · pith_short_16: VMQUPWYJU5KBFJD6 · pith_short_8: VMQUPWYJ

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/VMQUPWYJU5KBFJD6T6KHKHCJ2S \
  | 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: ab2147db09a75412a47e9f94751c49d4b38c478c66031b3bc1c030ddd3827cba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d92d16f632b85dba4458d168d384c16012bde31159a75eb89e91a4f3d1177202",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2019-08-16T19:47:28Z",
    "title_canon_sha256": "e5324b3db08c694d5a96622b5c78ec8571cbd37dbf634369021e243f07dea792"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06144",
    "kind": "arxiv",
    "version": 2
  }
}