Pith Number

pith:7IZPN6CO

pith:2012:7IZPN6CO3YRH4QSKLNMIBJK4MM

not attested not anchored not stored refs pending

The modularity conjecture holds for linear idempotent varieties

Luis Sequeira, Wolfram Bentz

arxiv:1212.5448 v1 · 2012-12-21 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7IZPN6CO3YRH4QSKLNMIBJK4MM}

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	2026-05-18T03:37:54.372966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa32f6f84ede227e424a5b5880a55c632dfa11474afc3c43d35df4821de90a8e

Aliases

arxiv: 1212.5448 · arxiv_version: 1212.5448v1 · doi: 10.48550/arxiv.1212.5448 · pith_short_12: 7IZPN6CO3YRH · pith_short_16: 7IZPN6CO3YRH4QSK · pith_short_8: 7IZPN6CO

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/7IZPN6CO3YRH4QSKLNMIBJK4MM \
  | 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: fa32f6f84ede227e424a5b5880a55c632dfa11474afc3c43d35df4821de90a8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9927368151c3f51d37ef5254bb3a2d723e1dd968c9c3ad4d959617b4e34d1572",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-12-21T14:05:53Z",
    "title_canon_sha256": "b746452bf54c7503b10b72ffe1a0279101f9990d4986ffb62de5448fab0a6931"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5448",
    "kind": "arxiv",
    "version": 1
  }
}