Pith Number

pith:3TCLCKC7

pith:2015:3TCLCKC7KFLGUSNQKW7TOVJVIY

not attested not anchored not stored refs pending

Group analysis of a class of nonlinear Kolmogorov equations

Christodoulos Sophocleous, Olena Vaneeva, Yuri Karadzhov

arxiv:1509.04481 v4 · 2015-09-15 · math-ph · math.AP · 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{3TCLCKC7KFLGUSNQKW7TOVJVIY}

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	2026-05-18T00:34:05.350450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcc4b1285f51566a49b055bf375535462bb04e762d6ef31e6e83dd8fd02b27f6

Aliases

arxiv: 1509.04481 · arxiv_version: 1509.04481v4 · doi: 10.48550/arxiv.1509.04481 · pith_short_12: 3TCLCKC7KFLG · pith_short_16: 3TCLCKC7KFLGUSNQ · pith_short_8: 3TCLCKC7

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/3TCLCKC7KFLGUSNQKW7TOVJVIY \
  | 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: dcc4b1285f51566a49b055bf375535462bb04e762d6ef31e6e83dd8fd02b27f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "715ce90c608a6f909340ecbeef3614ba592331ef30c35831dd46832fbc06ca95",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-15T10:25:27Z",
    "title_canon_sha256": "32514fdbe2c32fd97ebf8b33ba48494e87b8b91473cd09ee175625e7cba85d3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04481",
    "kind": "arxiv",
    "version": 4
  }
}