Pith Number

pith:5IJKVMPG

pith:2014:5IJKVMPG4YQM5EVGSZO2XAYRGS

not attested not anchored not stored refs pending

Symmetry and Lie-Frobenius reduction of differential equations

Giuseppe Gaeta

arxiv:1410.7984 v1 · 2014-10-29 · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5IJKVMPG4YQM5EVGSZO2XAYRGS}

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	2026-05-18T01:29:59.275961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea12aab1e6e620ce92a6965dab831134b5b4b03bf566a48cea6d27a6754e4aac

Aliases

arxiv: 1410.7984 · arxiv_version: 1410.7984v1 · doi: 10.48550/arxiv.1410.7984 · pith_short_12: 5IJKVMPG4YQM · pith_short_16: 5IJKVMPG4YQM5EVG · pith_short_8: 5IJKVMPG

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/5IJKVMPG4YQM5EVGSZO2XAYRGS \
  | 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: ea12aab1e6e620ce92a6965dab831134b5b4b03bf566a48cea6d27a6754e4aac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f87a420adda0d973bcea4956f74f04b22a9335a16902f865b53ca900f9ea70c5",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-10-29T13:54:14Z",
    "title_canon_sha256": "c136982a4cfc227a893d1f930baa19bb5254b5e83f07c1b5d5389e3984915224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7984",
    "kind": "arxiv",
    "version": 1
  }
}