Pith Number

pith:32D6DL7R

pith:2010:32D6DL7RUTCYR57BS6FX6CDT33

not attested not anchored not stored refs pending

Reduction operators of variable coefficient semilinear diffusion equations with an exponential source

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

arxiv:1010.2046 v1 · 2010-10-11 · 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{32D6DL7RUTCYR57BS6FX6CDT33}

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	2026-05-18T04:39:29.822928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de87e1aff1a4c588f7e1978b7f0873dedc994529fa0907db64189856e137d16f

Aliases

arxiv: 1010.2046 · arxiv_version: 1010.2046v1 · doi: 10.48550/arxiv.1010.2046 · pith_short_12: 32D6DL7RUTCY · pith_short_16: 32D6DL7RUTCYR57B · pith_short_8: 32D6DL7R

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/32D6DL7RUTCYR57BS6FX6CDT33 \
  | 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: de87e1aff1a4c588f7e1978b7f0873dedc994529fa0907db64189856e137d16f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "377fb5738dd76445e5167dea2d18dbaf1abf938d3d9ade63fdf066b48ed97cc7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2010-10-11T09:18:27Z",
    "title_canon_sha256": "3033af01733a06444fae5ad61e05af23a353353177f82e7b431928f9dc0a64b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2046",
    "kind": "arxiv",
    "version": 1
  }
}