Pith Number

pith:LW5NH2PZ

pith:2011:LW5NH2PZPLCQ36PGE5HGLJ2QV6

not attested not anchored not stored refs pending

Extended group analysis of variable coefficient reaction-diffusion equations with exponential nonlinearities

C. Sophocleous, O. O. Vaneeva, R. O. Popovych

arxiv:1111.5198 v3 · 2011-11-22 · nlin.SI · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LW5NH2PZPLCQ36PGE5HGLJ2QV6}

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	2026-05-18T03:48:48.055353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dbad3e9f97ac50df9e6274e65a750afab260b7bf08b0ca9da0755e3d7ec8849

Aliases

arxiv: 1111.5198 · arxiv_version: 1111.5198v3 · doi: 10.48550/arxiv.1111.5198 · pith_short_12: LW5NH2PZPLCQ · pith_short_16: LW5NH2PZPLCQ36PG · pith_short_8: LW5NH2PZ

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/LW5NH2PZPLCQ36PGE5HGLJ2QV6 \
  | 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: 5dbad3e9f97ac50df9e6274e65a750afab260b7bf08b0ca9da0755e3d7ec8849

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c81fa81072fcb3bcf0c82718c1cab9160d045ca3b7ba9ce005433e2665dcaec",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2011-11-22T13:40:15Z",
    "title_canon_sha256": "08e59d888909d3d810b028d85f302e5ef585f6078db06f26179b02a40a8616e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5198",
    "kind": "arxiv",
    "version": 3
  }
}