Pith Number

pith:PT2CX5YA

pith:2015:PT2CX5YAQEN577CXGKMV276EIN

not attested not anchored not stored refs pending

On the integral degree of integral ring extensions

Bernat Plans, Francesc Planas-Vilanova, Jos\'e M. Giral, Liam O'Carroll

arxiv:1507.02120 v2 · 2015-07-08 · 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{PT2CX5YAQEN577CXGKMV276EIN}

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	2026-05-18T00:22:16.592939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cf42bf700811bdffc5732995d7fc4437dfa9602199a3d0c0482006644bf871a

Aliases

arxiv: 1507.02120 · arxiv_version: 1507.02120v2 · doi: 10.48550/arxiv.1507.02120 · pith_short_12: PT2CX5YAQEN5 · pith_short_16: PT2CX5YAQEN577CX · pith_short_8: PT2CX5YA

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/PT2CX5YAQEN577CXGKMV276EIN \
  | 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: 7cf42bf700811bdffc5732995d7fc4437dfa9602199a3d0c0482006644bf871a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40035a3b32e2c89bb1fcd463c4660d822ee1c1ece6ffc48e0b227ba29881425a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-07-08T12:18:42Z",
    "title_canon_sha256": "121b3f5a72d0d7cadb62bec7a6806b5eb3bf3e866bdf8e5efcf6ee65b3a44483"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02120",
    "kind": "arxiv",
    "version": 2
  }
}