Pith Number

pith:DPWDXDFP

pith:2025:DPWDXDFP3RGW3A4TQAMLS573VG

not attested not anchored not stored refs pending

Soliton Dynamics and Modulation Instability in the (3+1)-dimensional ZK equation: A Lie Symmetry Approach

Anshika Singhal, Rajan Arora, Urvashi Joshi

arxiv:2502.07682 v3 · 2025-02-11 · 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{DPWDXDFP3RGW3A4TQAMLS573VG}

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	2026-07-05T12:03:45.684675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bec3b8cafdc4d6d83938018b977fba9a53c1a83c6f510b46cdf7e864a0cedf8

Aliases

arxiv: 2502.07682 · arxiv_version: 2502.07682v3 · doi: 10.48550/arxiv.2502.07682 · pith_short_12: DPWDXDFP3RGW · pith_short_16: DPWDXDFP3RGW3A4T · pith_short_8: DPWDXDFP

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/DPWDXDFP3RGW3A4TQAMLS573VG \
  | 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: 1bec3b8cafdc4d6d83938018b977fba9a53c1a83c6f510b46cdf7e864a0cedf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79f1c98854b26959fa280ec231d0ff4a3992b20e5ba86c6e5af972a7d408a685",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-02-11T16:31:48Z",
    "title_canon_sha256": "c258a05cd241ebea65b596bd5193ed742328ede2e89bbe5a2c3c628cafe16000"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.07682",
    "kind": "arxiv",
    "version": 3
  }
}