Pith Number

pith:UXH2VZG6

pith:2008:UXH2VZG66TX7BGIPEVCZ4JPF7G

not attested not anchored not stored refs pending

Exact one-periodic and two-periodic wave solutions to Hirota bilinear equations in 2+1 dimensions

Liang Gao, Ruguang Zhou, Wen-Xiu Ma

arxiv:0812.4316 v1 · 2008-12-23 · nlin.SI · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UXH2VZG66TX7BGIPEVCZ4JPF7G}

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	2026-05-18T02:15:03.973259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5cfaae4def4eff0990f25459e25e5f9a2738bfde39705a0ed32e4878a2d02e4

Aliases

arxiv: 0812.4316 · arxiv_version: 0812.4316v1 · doi: 10.48550/arxiv.0812.4316 · pith_short_12: UXH2VZG66TX7 · pith_short_16: UXH2VZG66TX7BGIP · pith_short_8: UXH2VZG6

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/UXH2VZG66TX7BGIPEVCZ4JPF7G \
  | 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: a5cfaae4def4eff0990f25459e25e5f9a2738bfde39705a0ed32e4878a2d02e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e009d56afd79443f5b608c16a4b45d32845754755bc8aa27083f26fb646ec95c",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2008-12-23T00:09:40Z",
    "title_canon_sha256": "ec62e1bb4ef313278267d9cc25ace86743353aa804e7ab5b4920f78dcac2723e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4316",
    "kind": "arxiv",
    "version": 1
  }
}