Pith Number

pith:X6RTIMLV

pith:2019:X6RTIMLVEAI3NTUCOXSO7FR3VE

not attested not anchored not stored refs pending

Rational Solutions of First-Order Algebraic Ordinary Difference Equations

Thieu N. Vo, Yi Zhang

arxiv:1901.11048 v2 · 2019-01-30 · cs.SC · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X6RTIMLVEAI3NTUCOXSO7FR3VE}

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	2026-05-17T23:54:53.034606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfa33431752011b6ce8275e4ef963ba926340eff6dbcac297ff3d6ebee05b32c

Aliases

arxiv: 1901.11048 · arxiv_version: 1901.11048v2 · doi: 10.48550/arxiv.1901.11048 · pith_short_12: X6RTIMLVEAI3 · pith_short_16: X6RTIMLVEAI3NTUC · pith_short_8: X6RTIMLV

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/X6RTIMLVEAI3NTUCOXSO7FR3VE \
  | 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: bfa33431752011b6ce8275e4ef963ba926340eff6dbcac297ff3d6ebee05b32c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0559850324c3976049f7b4ac6ca7b6b1ee309cbd24ea281a692f105c3c719e9b",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2019-01-30T19:04:50Z",
    "title_canon_sha256": "6b4141149b6ca5dabec3e83125c61e4c7fed86b674171b539ff4822404f92e61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.11048",
    "kind": "arxiv",
    "version": 2
  }
}