Pith Number

pith:YKRIBWXO

pith:2016:YKRIBWXOVMCXVBZDD7BCXEJYSM

not attested not anchored not stored refs pending

Toward Effective Liouvillian Integration

Alcides Lins Neto, Ga\"el Cousin, Jorge Vit\'orio Pereira

arxiv:1604.05276 v3 · 2016-04-18 · math.AG · math.CA · math.CV · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YKRIBWXOVMCXVBZDD7BCXEJYSM}

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	2026-05-18T00:18:04.394448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2a280daeeab057a87231fc22b9138931d25e68becc8abbd39f8ca9b433d4e8d

Aliases

arxiv: 1604.05276 · arxiv_version: 1604.05276v3 · doi: 10.48550/arxiv.1604.05276 · pith_short_12: YKRIBWXOVMCX · pith_short_16: YKRIBWXOVMCXVBZD · pith_short_8: YKRIBWXO

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/YKRIBWXOVMCXVBZDD7BCXEJYSM \
  | 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: c2a280daeeab057a87231fc22b9138931d25e68becc8abbd39f8ca9b433d4e8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "901c9eb37332801a6bf6e44f95420fe18da6c27b454e75c38c597375cc322e2f",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-18T18:48:57Z",
    "title_canon_sha256": "f8ffa217862a99b03da55a80d16bf0fdb7af847fec7918295d96c4c09d16e2f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05276",
    "kind": "arxiv",
    "version": 3
  }
}