Pith Number

pith:SPUI5NMC

pith:2014:SPUI5NMCESAATY6SSVWAQOQB46

not attested not anchored not stored refs pending

Canonical decomposition of linear differential operators with selected differential Galois groups

J-A. Weil, J-M. Maillard, S. Boukraa, S. Hassani

arxiv:1407.5541 v2 · 2014-07-21 · 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{SPUI5NMCESAATY6SSVWAQOQB46}

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	2026-05-18T01:42:33.503192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93e88eb582248009e3d2956c083a01e7bb05eff1796a64a6acf181c5bce9f161

Aliases

arxiv: 1407.5541 · arxiv_version: 1407.5541v2 · doi: 10.48550/arxiv.1407.5541 · pith_short_12: SPUI5NMCESAA · pith_short_16: SPUI5NMCESAATY6S · pith_short_8: SPUI5NMC

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/SPUI5NMCESAATY6SSVWAQOQB46 \
  | 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: 93e88eb582248009e3d2956c083a01e7bb05eff1796a64a6acf181c5bce9f161

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21ada299c6593c544573c2745ded3d3ebff3cb8f62c0d18cdab71b68d81c915b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-07-21T15:57:42Z",
    "title_canon_sha256": "e572290b30e4ccffd3e56e15d441961946537cfe4a2194d83470a0287e1cbf4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5541",
    "kind": "arxiv",
    "version": 2
  }
}