Pith Number

pith:DXYXUXEV

pith:2026:DXYXUXEVO4WWC4GP4AT5MODBW3

not attested not anchored not stored refs pending

The co-directional overtaking collision problem between a dispersive shock wave and a rarefaction wave for the Hirota equation

Rui Guo, Yuan Xiang

arxiv:2608.03139 v1 · 2026-08-04 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXYXUXEVO4WWC4GP4AT5MODBW3}

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	2026-08-05T00:45:47.054702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1df17a5c95772d6170cfe027d63861b6c6010842edae9f56787df74eca9a53b9

Aliases

arxiv: 2608.03139 · arxiv_version: 2608.03139v1 · doi: 10.48550/arxiv.2608.03139 · pith_short_12: DXYXUXEVO4WW · pith_short_16: DXYXUXEVO4WWC4GP · pith_short_8: DXYXUXEV

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/DXYXUXEVO4WWC4GP4AT5MODBW3 \
  | 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: 1df17a5c95772d6170cfe027d63861b6c6010842edae9f56787df74eca9a53b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b0c010fab7c68b13fefbe57fe36bd56656cc54e6dadecce3bb0cd2ee2143e59",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-08-04T05:10:34Z",
    "title_canon_sha256": "1ccb13b59eca52139b8d3d915e9f0bacca1eef907c514647820a0c6ddb709ae1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03139",
    "kind": "arxiv",
    "version": 1
  }
}