Pith Number

pith:BAPAAWA4

pith:2010:BAPAAWA4SASJQC3UK2ICHXG4JX

not attested not anchored not stored refs pending

Extended symmetry analysis of a "nonconservative Fokker-Plank equation"

Nataliya Shapoval, Vyacheslav Boyko

arxiv:1008.1405 v2 · 2010-08-08 · math-ph · 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{BAPAAWA4SASJQC3UK2ICHXG4JX}

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	2026-05-18T04:07:41.837364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

081e00581c9024980b74569023dcdc4df1651420f5a4ee36c5bdce369f7e9f01

Aliases

arxiv: 1008.1405 · arxiv_version: 1008.1405v2 · doi: 10.48550/arxiv.1008.1405 · pith_short_12: BAPAAWA4SASJ · pith_short_16: BAPAAWA4SASJQC3U · pith_short_8: BAPAAWA4

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/BAPAAWA4SASJQC3UK2ICHXG4JX \
  | 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: 081e00581c9024980b74569023dcdc4df1651420f5a4ee36c5bdce369f7e9f01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "463e037ee93ce73174854aee31cf91172fbc6f5ac2172cb59cf6fac7b8fd282f",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-08-08T13:32:11Z",
    "title_canon_sha256": "0cc4869c852a3242064dd3f34ce6ff0575c8c2d2d34cdd802d26cde3661355ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1405",
    "kind": "arxiv",
    "version": 2
  }
}