Pith Number

pith:O65U4HBC

pith:2013:O65U4HBCYKZ7SXJMVAWSVFSDD3

not attested not anchored not stored refs pending

Polynomial solutions for a class of second-order linear differential equations

Nasser Saad, Richard L. Hall, Victoria A. Trenton

arxiv:1311.0188 v1 · 2013-11-01 · 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{O65U4HBCYKZ7SXJMVAWSVFSDD3}

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	2026-05-18T03:08:15.351675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77bb4e1c22c2b3f95d2ca82d2a96431ede9f037b29b4d1a06e4ff57d56d67421

Aliases

arxiv: 1311.0188 · arxiv_version: 1311.0188v1 · doi: 10.48550/arxiv.1311.0188 · pith_short_12: O65U4HBCYKZ7 · pith_short_16: O65U4HBCYKZ7SXJM · pith_short_8: O65U4HBC

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/O65U4HBCYKZ7SXJMVAWSVFSDD3 \
  | 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: 77bb4e1c22c2b3f95d2ca82d2a96431ede9f037b29b4d1a06e4ff57d56d67421

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "540f371a8e8e9cbbc067841ff850c81deefcf899433529bfe10354471ce198f5",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-01T14:18:16Z",
    "title_canon_sha256": "8ba694dcc9fba7db80a254ebff775278185ca23f3d7147c038a6e2a5de046de0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0188",
    "kind": "arxiv",
    "version": 1
  }
}