Pith Number

pith:FD34PVRU

pith:2026:FD34PVRUQ2Q7S65WZMZBAZMEGS

not attested not anchored not stored refs pending

Painlev\'e \uppercase\expandafter{\romannumeral34\relax} and collisionless shock in the defocusing NLS equation with step-like initial data in the transition regions

Engui Fan, Yidan Zhang, Zhaoyu Wang

arxiv:2606.26911 v1 · 2026-06-25 · math.AP · 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{FD34PVRUQ2Q7S65WZMZBAZMEGS}

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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	2026-06-26T01:16:03.903609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28f7c7d63486a1f97bb6cb3210658434b51def1cb2d7b137d855f0859807cc3a

Aliases

arxiv: 2606.26911 · arxiv_version: 2606.26911v1 · doi: 10.48550/arxiv.2606.26911 · pith_short_12: FD34PVRUQ2Q7 · pith_short_16: FD34PVRUQ2Q7S65W · pith_short_8: FD34PVRU

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/FD34PVRUQ2Q7S65WZMZBAZMEGS \
  | 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: 28f7c7d63486a1f97bb6cb3210658434b51def1cb2d7b137d855f0859807cc3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31cb9b3abdd55ccc08a5fb94e9803b7bdcc6902bbe3c87083f8d36229f18f454",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-25T11:47:25Z",
    "title_canon_sha256": "8682952f6f0bb672f8aa976832f8ade9099995c91eb0ddea978985e17fde79de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26911",
    "kind": "arxiv",
    "version": 1
  }
}