Pith Number

pith:R32OPPL6

pith:2005:R32OPPL6U6C63PY5OAATNK6NIQ

not attested not anchored not stored refs pending

Base change of invariant subrings

Mitsuyasu Hashimoto

arxiv:math/0511100 v1 · 2005-11-04 · 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{R32OPPL6U6C63PY5OAATNK6NIQ}

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	2026-05-18T04:34:28.206144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ef4e7bd7ea785edbf1d700136abcd4400a441809cd0561bec286a81395d9b55

Aliases

arxiv: math/0511100 · arxiv_version: math/0511100v1 · doi: 10.48550/arxiv.math/0511100 · pith_short_12: R32OPPL6U6C6 · pith_short_16: R32OPPL6U6C63PY5 · pith_short_8: R32OPPL6

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/R32OPPL6U6C63PY5OAATNK6NIQ \
  | 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: 8ef4e7bd7ea785edbf1d700136abcd4400a441809cd0561bec286a81395d9b55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60ae2d136feaf1d2878c04edd70112a51bc70b2c45a4c6e180218a661267c386",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2005-11-04T07:02:44Z",
    "title_canon_sha256": "f437828cfa41183633d3f2c67bb0ea1f0129592dd14eb08292907eccc2fa9c8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511100",
    "kind": "arxiv",
    "version": 1
  }
}