Pith Number

pith:XP24XHGO

pith:2015:XP24XHGOYI7RVS42QFYVUWVLMF

not attested not anchored not stored refs pending

Exact analytical approach to differential equations with variable coefficients

Mauro Bologna

arxiv:1505.06509 v1 · 2015-05-16 · math.CA · 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{XP24XHGOYI7RVS42QFYVUWVLMF}

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	2026-05-18T02:03:44.795967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbf5cb9ccec23f1acb9a81715a5aab61734f7253a9fd061b3ce619df113be94f

Aliases

arxiv: 1505.06509 · arxiv_version: 1505.06509v1 · doi: 10.48550/arxiv.1505.06509 · pith_short_12: XP24XHGOYI7R · pith_short_16: XP24XHGOYI7RVS42 · pith_short_8: XP24XHGO

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/XP24XHGOYI7RVS42QFYVUWVLMF \
  | 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: bbf5cb9ccec23f1acb9a81715a5aab61734f7253a9fd061b3ce619df113be94f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41c95dd00b7d3419f11fd88f49fb3a3093cdb4ea4a717efe460ec14945c01b63",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-05-16T16:17:47Z",
    "title_canon_sha256": "f9825a298c60df6e426942fdd199ef54d9408e4eaee6f4f2d6db1fcefad72fb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06509",
    "kind": "arxiv",
    "version": 1
  }
}