Pith Number

pith:UA3ICYNE

pith:2012:UA3ICYNE6VV4TT2DS7BN26WY56

not attested not anchored not stored refs pending

On Lie systems and Kummer-Schwarz equations

C. Sard\'on, J. de Lucas

arxiv:1212.5779 v2 · 2012-12-23 · math-ph · math.CA · 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{UA3ICYNE6VV4TT2DS7BN26WY56}

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	2026-05-18T03:27:01.217276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0368161a4f56bc9cf4397c2dd7ad8efac95f0961a27e07bff653ac1b6a8fe0c

Aliases

arxiv: 1212.5779 · arxiv_version: 1212.5779v2 · doi: 10.48550/arxiv.1212.5779 · pith_short_12: UA3ICYNE6VV4 · pith_short_16: UA3ICYNE6VV4TT2D · pith_short_8: UA3ICYNE

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/UA3ICYNE6VV4TT2DS7BN26WY56 \
  | 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: a0368161a4f56bc9cf4397c2dd7ad8efac95f0961a27e07bff653ac1b6a8fe0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "960781bd4909dc0459f3414b88da7ba385a9c938f811d6e41b266dfd763c6116",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-23T10:03:37Z",
    "title_canon_sha256": "af19aaf6641b5c8caa5cd64acbd179ef3900e7c48c2e39a33bfd5f6010aac2f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5779",
    "kind": "arxiv",
    "version": 2
  }
}