Pith Number

pith:BKQAJD4D

pith:2016:BKQAJD4DKCERUGWKRAWNVUAGR6

not attested not anchored not stored refs pending

Un-Reduction of Systems of Second-Order Ordinary Differential Equations

Eduardo Garc\'ia-Tora\~no Andr\'es, Tom Mestdag

arxiv:1606.07649 v2 · 2016-06-24 · math.DG · 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{BKQAJD4DKCERUGWKRAWNVUAGR6}

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	2026-05-18T00:55:39.113058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aa0048f8350891a1aca882cdad0068f93fb180ef8bc2e79105f1ac13c2eb0af

Aliases

arxiv: 1606.07649 · arxiv_version: 1606.07649v2 · doi: 10.48550/arxiv.1606.07649 · pith_short_12: BKQAJD4DKCER · pith_short_16: BKQAJD4DKCERUGWK · pith_short_8: BKQAJD4D

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/BKQAJD4DKCERUGWKRAWNVUAGR6 \
  | 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: 0aa0048f8350891a1aca882cdad0068f93fb180ef8bc2e79105f1ac13c2eb0af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd6318c9b3bcecb1f42be38a62cfddb7069662f574a933f0078f7668700167d0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-06-24T11:51:49Z",
    "title_canon_sha256": "48e1d8faa57ff351ec1a4a39ed6b23982f129a6eb6a35a74e06533b0ee17137c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07649",
    "kind": "arxiv",
    "version": 2
  }
}