Pith Number

pith:VLO3SM4I

pith:2012:VLO3SM4IGBJYTRKKXCB57DWTWR

not attested not anchored not stored refs pending

Reduction operators and exact solutions of variable coefficient nonlinear wave equations with power nonlinearities

Ding-jiang Huang, Qin-min Yang, Shui-geng Zhou

arxiv:1208.4923 v3 · 2012-08-24 · 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{VLO3SM4IGBJYTRKKXCB57DWTWR}

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	2026-05-18T03:04:22.665611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaddb93388305389c54ab883df8ed3b464ebd5114cc095e76de218d8e6c460f1

Aliases

arxiv: 1208.4923 · arxiv_version: 1208.4923v3 · doi: 10.48550/arxiv.1208.4923 · pith_short_12: VLO3SM4IGBJY · pith_short_16: VLO3SM4IGBJYTRKK · pith_short_8: VLO3SM4I

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/VLO3SM4IGBJYTRKKXCB57DWTWR \
  | 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: aaddb93388305389c54ab883df8ed3b464ebd5114cc095e76de218d8e6c460f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "788e4168950a9e81d13f017e9cd22560e77d030668b0c19002e6f5f2a34278b2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-24T08:35:55Z",
    "title_canon_sha256": "9a0b2522fc9c794f145752f34c401f153c6b5d7d448a6efaa447443568385567"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4923",
    "kind": "arxiv",
    "version": 3
  }
}