Pith Number

pith:EACMQXCH

pith:2012:EACMQXCH7SDY7BKF5MHGWRGXF7

not attested not anchored not stored refs pending

Semi-Invariant Subrings

Uriya A. First

arxiv:1212.2124 v2 · 2012-12-10 · 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{EACMQXCH7SDY7BKF5MHGWRGXF7}

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	2026-05-18T02:19:36.519429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2004c85c47fc878f8545eb0e6b44d72fe8db4353c2b2eae6ffa7439956b7b207

Aliases

arxiv: 1212.2124 · arxiv_version: 1212.2124v2 · doi: 10.48550/arxiv.1212.2124 · pith_short_12: EACMQXCH7SDY · pith_short_16: EACMQXCH7SDY7BKF · pith_short_8: EACMQXCH

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/EACMQXCH7SDY7BKF5MHGWRGXF7 \
  | 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: 2004c85c47fc878f8545eb0e6b44d72fe8db4353c2b2eae6ffa7439956b7b207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdf58d58b4fa8633942bdebd1dd0055571c01f16f3045e0139da448beec76a10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-12-10T16:32:14Z",
    "title_canon_sha256": "8b44ab0fef583a6d4367b6114c775e02e58d9ab1b216bfa6ee91c15236efd2a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2124",
    "kind": "arxiv",
    "version": 2
  }
}