Pith Number

pith:AIUCLMFW

pith:2005:AIUCLMFWK3EISMLYNYA7ADERQJ

not attested not anchored not stored refs pending

Standard monomial bases and geometric consequences for certain rings of invariants

P. Shukla, V. Lakshmibai

arxiv:math/0506088 v1 · 2005-06-05 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AIUCLMFWK3EISMLYNYA7ADERQJ}

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	2026-07-04T14:40:02.397403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

022825b0b656c88931786e01f00c9182753472b0ea6600728acb55078f7e5440

Aliases

arxiv: math/0506088 · arxiv_version: math/0506088v1 · doi: 10.48550/arxiv.math/0506088 · pith_short_12: AIUCLMFWK3EI · pith_short_16: AIUCLMFWK3EISMLY · pith_short_8: AIUCLMFW

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/AIUCLMFWK3EISMLYNYA7ADERQJ \
  | 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: 022825b0b656c88931786e01f00c9182753472b0ea6600728acb55078f7e5440

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf3006b3a298f930e1c6326b10d2359da5a9a07183e9b9450a925df13bcf1160",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-06-05T20:52:05Z",
    "title_canon_sha256": "98349f15d60cb6b79ee4346c95ed8ddb6d6f47a1232ada962f3fec942bb23360"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506088",
    "kind": "arxiv",
    "version": 1
  }
}