Pith Number

pith:GXMU4XSU

pith:2010:GXMU4XSUMXNP6YJ5QIYJQH766S

not attested not anchored not stored refs pending

A Chevalley theorem for difference equations

Michael Wibmer

arxiv:1010.5066 v1 · 2010-10-25 · 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{GXMU4XSUMXNP6YJ5QIYJQH766S}

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	2026-05-18T04:38:49.461059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35d94e5e5465daff613d8230981ffef486b4572a7d52d7bf509b29a3d4ddd24d

Aliases

arxiv: 1010.5066 · arxiv_version: 1010.5066v1 · doi: 10.48550/arxiv.1010.5066 · pith_short_12: GXMU4XSUMXNP · pith_short_16: GXMU4XSUMXNP6YJ5 · pith_short_8: GXMU4XSU

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/GXMU4XSUMXNP6YJ5QIYJQH766S \
  | 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: 35d94e5e5465daff613d8230981ffef486b4572a7d52d7bf509b29a3d4ddd24d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eecb586eedc53b616b2bbe97c490d87ea437b99f53e53db7df1718b6ae6d276",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-10-25T09:21:16Z",
    "title_canon_sha256": "32a1c8b7df1dd83daf5cc212a7e528eee6602071b252aaf39d6343e2d0fc8acf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5066",
    "kind": "arxiv",
    "version": 1
  }
}