Pith Number

pith:TKRLICJY

pith:2012:TKRLICJYRJS2WCT5Z22XFRT7BP

not attested not anchored not stored refs pending

Pushout of quasi-finite and flat group schemes over a Dedekind ring

Marco Antei

arxiv:1204.1913 v1 · 2012-04-09 · 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{TKRLICJYRJS2WCT5Z22XFRT7BP}

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	2026-05-18T03:45:22.959353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aa2b409388a65ab0a7dceb572c67f0bcd4515277cfb9cf409ea14f19b430d45

Aliases

arxiv: 1204.1913 · arxiv_version: 1204.1913v1 · doi: 10.48550/arxiv.1204.1913 · pith_short_12: TKRLICJYRJS2 · pith_short_16: TKRLICJYRJS2WCT5 · pith_short_8: TKRLICJY

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/TKRLICJYRJS2WCT5Z22XFRT7BP \
  | 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: 9aa2b409388a65ab0a7dceb572c67f0bcd4515277cfb9cf409ea14f19b430d45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f437bc58ca129cdfa5a09e9d09294316868cf24938218a55c9dcf610575f0e1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-04-09T16:03:44Z",
    "title_canon_sha256": "a474da1390de6c04bd647015648a8ce021a48cd5ff75587a8e228a1c990dc59b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1913",
    "kind": "arxiv",
    "version": 1
  }
}