Pith Number

pith:SPUUGV4Z

pith:2013:SPUUGV4ZF3ODPC2AFCNAQOBNVV

not attested not anchored not stored refs pending

Residual Symmetry Reductions and Interaction Solutions of (2+1)-Dimensional Burgers Equation

Bo Ren, Jun Yu, Xi-zhong Liu

arxiv:1310.0155 v1 · 2013-10-01 · 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{SPUUGV4ZF3ODPC2AFCNAQOBNVV}

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	2026-05-18T03:11:45.371140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93e94357992edc378b40289a08382dad448a0f65b6323302afc5c5caf28b3007

Aliases

arxiv: 1310.0155 · arxiv_version: 1310.0155v1 · doi: 10.48550/arxiv.1310.0155 · pith_short_12: SPUUGV4ZF3OD · pith_short_16: SPUUGV4ZF3ODPC2A · pith_short_8: SPUUGV4Z

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/SPUUGV4ZF3ODPC2AFCNAQOBNVV \
  | 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: 93e94357992edc378b40289a08382dad448a0f65b6323302afc5c5caf28b3007

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdf9e1f242149c710d67b1422c4d9fb181c0b977f29cd3c4fd01b6424a4a09c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2013-10-01T06:39:28Z",
    "title_canon_sha256": "11f8e4fde620c2b64dc6ad417191042e5e9bdfb7b5e938552fbd425f8582c795"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0155",
    "kind": "arxiv",
    "version": 1
  }
}