Pith Number

pith:4KGSLUZR

pith:2015:4KGSLUZRGBBD4UIM76FQQMTVDM

not attested not anchored not stored refs pending

Galois correspondence theorem for Picard-Vessiot extensions

Elzbieta Sowa-Adamus, Teresa Crespo, Zbigniew Hajto

arxiv:1502.08026 v1 · 2015-02-27 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KGSLUZRGBBD4UIM76FQQMTVDM}

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	2026-05-18T00:46:21.317722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e28d25d33130423e510cff8b0832751b08d05c7a42504448c3dbb8a3ec1c4bc1

Aliases

arxiv: 1502.08026 · arxiv_version: 1502.08026v1 · doi: 10.48550/arxiv.1502.08026 · pith_short_12: 4KGSLUZRGBBD · pith_short_16: 4KGSLUZRGBBD4UIM · pith_short_8: 4KGSLUZR

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/4KGSLUZRGBBD4UIM76FQQMTVDM \
  | 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: e28d25d33130423e510cff8b0832751b08d05c7a42504448c3dbb8a3ec1c4bc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "692d9be8f4a8c8fb9253d0f54a1e4edefe008857764e0c0a5b2d4457056ef9e5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-02-27T19:22:27Z",
    "title_canon_sha256": "3fd597bebf18b3fa4baea41df9c68c28bcfe307eb78453dd14edf2b299f41bb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.08026",
    "kind": "arxiv",
    "version": 1
  }
}