Pith Number

pith:KI7X5AXA

pith:2013:KI7X5AXAIMNCLKC3CHWL7RWHP6

not attested not anchored not stored refs pending

New symmetry reductions related with the residual symmetry of Boussinesq equation

Bo Ren, Jun Yu, Xi-zhong Liu

arxiv:1310.8512 v1 · 2013-10-31 · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KI7X5AXAIMNCLKC3CHWL7RWHP6}

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	2026-05-18T03:08:16.799557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

523f7e82e0431a25a85b11ecbfc6c77fbec8f2062b9603b1eb94be1041d90fc5

Aliases

arxiv: 1310.8512 · arxiv_version: 1310.8512v1 · doi: 10.48550/arxiv.1310.8512 · pith_short_12: KI7X5AXAIMNC · pith_short_16: KI7X5AXAIMNCLKC3 · pith_short_8: KI7X5AXA

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/KI7X5AXAIMNCLKC3CHWL7RWHP6 \
  | 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: 523f7e82e0431a25a85b11ecbfc6c77fbec8f2062b9603b1eb94be1041d90fc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18da020288b6818969ebe56c0a81ebe85472736f539cd282934f06eeedacc93f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2013-10-31T14:12:38Z",
    "title_canon_sha256": "aaea21ebff48728ae2bfe75a270631d5cfe853efc2bca605ded3eee75c4a364b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8512",
    "kind": "arxiv",
    "version": 1
  }
}