Pith Number

pith:WRA5ZJ5F

pith:2019:WRA5ZJ5FRMHL5QAPU6WRYLWGA7

not attested not anchored not stored refs pending

Global solvability criteria for some classes of nonlinear second order ordinary differential equations

G. A. Grigorian

arxiv:1907.06895 v1 · 2019-07-16 · math.CA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRA5ZJ5FRMHL5QAPU6WRYLWGA7}

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	2026-05-17T23:40:28.763403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b441dca7a58b0ebec00fa7ad1c2ec607f896cc13f5315814dc2c3ec8b1dceee0

Aliases

arxiv: 1907.06895 · arxiv_version: 1907.06895v1 · doi: 10.48550/arxiv.1907.06895 · pith_short_12: WRA5ZJ5FRMHL · pith_short_16: WRA5ZJ5FRMHL5QAP · pith_short_8: WRA5ZJ5F

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/WRA5ZJ5FRMHL5QAPU6WRYLWGA7 \
  | 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: b441dca7a58b0ebec00fa7ad1c2ec607f896cc13f5315814dc2c3ec8b1dceee0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b92cf2ad2e2fb4ba17cf176eefa6dd778b8a84b94d49342c6be039416886538a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-07-16T08:59:47Z",
    "title_canon_sha256": "ac6a5b5d6146e7f2e69d389ca32e0e1572c5564e16a8446ac3b4feed25e8dab1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06895",
    "kind": "arxiv",
    "version": 1
  }
}