Pith Number

pith:ATFTZWTU

pith:2007:ATFTZWTUFUOAVYIXMMZR4I5YXU

not attested not anchored not stored refs pending

On the depth of invariant rings of infinite groups

Martin Kohls

arxiv:0711.4740 v3 · 2007-11-29 · 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{ATFTZWTUFUOAVYIXMMZR4I5YXU}

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	2026-05-18T02:49:10.243874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04cb3cda742d1c0ae11763331e23b8bd0548c357103a49c1d5a43b84ae9ce4ce

Aliases

arxiv: 0711.4740 · arxiv_version: 0711.4740v3 · doi: 10.48550/arxiv.0711.4740 · pith_short_12: ATFTZWTUFUOA · pith_short_16: ATFTZWTUFUOAVYIX · pith_short_8: ATFTZWTU

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/ATFTZWTUFUOAVYIXMMZR4I5YXU \
  | 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: 04cb3cda742d1c0ae11763331e23b8bd0548c357103a49c1d5a43b84ae9ce4ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f94d0c6b2b7790fa9c5d311fa3a6dd602e7e51f93d9d4e5d307e0580c24cc2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2007-11-29T15:30:14Z",
    "title_canon_sha256": "97bf978fc92cf50e3df12a53610c3018d060d275d76afd557ff747aa894831fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4740",
    "kind": "arxiv",
    "version": 3
  }
}