Pith Number

pith:PQCGRAZX

pith:2010:PQCGRAZXL4ESLE4BBH5SLNS64Q

not attested not anchored not stored refs pending

The fundamental solution of nonlinear equations with natural growth terms

Benjamin J. Jaye, Igor E. Verbitsky

arxiv:1002.4664 v2 · 2010-02-24 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQCGRAZXL4ESLE4BBH5SLNS64Q}

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	2026-05-18T04:39:50.281101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c046883375f0925938109fb25b65ee420fbfd04d98834f8f3e296a59047ce5b

Aliases

arxiv: 1002.4664 · arxiv_version: 1002.4664v2 · doi: 10.48550/arxiv.1002.4664 · pith_short_12: PQCGRAZXL4ES · pith_short_16: PQCGRAZXL4ESLE4B · pith_short_8: PQCGRAZX

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/PQCGRAZXL4ESLE4BBH5SLNS64Q \
  | 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: 7c046883375f0925938109fb25b65ee420fbfd04d98834f8f3e296a59047ce5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1920f73aa9418c98ed17e456e2af59d0b9f927e538936bada0f1c01e3aaac8ad",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-02-24T23:57:20Z",
    "title_canon_sha256": "750fdc3a17fae15a936ef36e4d5c8279b68ea9bc64eac5b9fdd2a48c9970aef4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4664",
    "kind": "arxiv",
    "version": 2
  }
}