Pith Number

pith:SPEAPVTH

pith:2010:SPEAPVTHPCC6VUIU2QN4Y2TVKR

not attested not anchored not stored refs pending

Lie group classifications and exact solutions for time-fractional Burgers equation

Guo-cheng Wu

arxiv:1011.3692 v1 · 2010-11-16 · math-ph · math.GR · math.MP · 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{SPEAPVTHPCC6VUIU2QN4Y2TVKR}

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	2026-05-18T02:04:45.188565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93c807d6677885ead114d41bcc6a75544d8327d268f900bbfca8eeb7e10d81a5

Aliases

arxiv: 1011.3692 · arxiv_version: 1011.3692v1 · doi: 10.48550/arxiv.1011.3692 · pith_short_12: SPEAPVTHPCC6 · pith_short_16: SPEAPVTHPCC6VUIU · pith_short_8: SPEAPVTH

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/SPEAPVTHPCC6VUIU2QN4Y2TVKR \
  | 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: 93c807d6677885ead114d41bcc6a75544d8327d268f900bbfca8eeb7e10d81a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd134d3e8b7944689d81fcf6b281344a0fafd5948afe1b6f21836f5a6cd1d8b1",
    "cross_cats_sorted": [
      "math.GR",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-11-16T13:52:35Z",
    "title_canon_sha256": "e2220046d89a78fb4805cd663a20a2e8df005114322ad4fb199bd89d40e865e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3692",
    "kind": "arxiv",
    "version": 1
  }
}