Pith Number

pith:QEJCXQSU

pith:2011:QEJCXQSUADUYAYCSULRYVSEHTR

not attested not anchored not stored refs pending

Makar-Limanov invariant, Derksen invariant, flexible points

Fabrizio Donzelli

arxiv:1107.3340 v1 · 2011-07-17 · 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{QEJCXQSUADUYAYCSULRYVSEHTR}

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	2026-05-18T04:18:03.291299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81122bc25400e9806052a2e38ac8879c5d119607da36ca770b77e3bd3b18bc56

Aliases

arxiv: 1107.3340 · arxiv_version: 1107.3340v1 · doi: 10.48550/arxiv.1107.3340 · pith_short_12: QEJCXQSUADUY · pith_short_16: QEJCXQSUADUYAYCS · pith_short_8: QEJCXQSU

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/QEJCXQSUADUYAYCSULRYVSEHTR \
  | 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: 81122bc25400e9806052a2e38ac8879c5d119607da36ca770b77e3bd3b18bc56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "520269f39b0f4fc6575ddb5d7431acfff80030a01a7c8df35fb4b854a101cca2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-17T23:46:26Z",
    "title_canon_sha256": "5b93c7deaf35269cdbd9b347af24cf1599805667e8f5c525e95ddafa367ac1dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3340",
    "kind": "arxiv",
    "version": 1
  }
}