Pith Number

pith:5KLUMZXB

pith:2018:5KLUMZXBLIDRLGEFI7H7HKBKWG

not attested not anchored not stored refs pending

Regular rings and perfect(oid) algebras

Bhargav Bhatt, Linquan Ma, Srikanth B. Iyengar

arxiv:1803.03229 v2 · 2018-03-08 · 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{5KLUMZXBLIDRLGEFI7H7HKBKWG}

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	2026-05-18T00:06:16.156985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea974666e15a0715988547cff3a82ab1b6c04885ae4e8955d0db5ccbce8025a2

Aliases

arxiv: 1803.03229 · arxiv_version: 1803.03229v2 · doi: 10.48550/arxiv.1803.03229 · pith_short_12: 5KLUMZXBLIDR · pith_short_16: 5KLUMZXBLIDRLGEF · pith_short_8: 5KLUMZXB

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/5KLUMZXBLIDRLGEFI7H7HKBKWG \
  | 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: ea974666e15a0715988547cff3a82ab1b6c04885ae4e8955d0db5ccbce8025a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18d1fe7c47f9185a88a34977aacf3c9d4a39bda4a326772d77db3780e0222680",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-03-08T17:51:10Z",
    "title_canon_sha256": "f1e5de2f50405a201b011010f688b9f660897f72ae29e3cb30a872a73d7caa50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03229",
    "kind": "arxiv",
    "version": 2
  }
}