Pith Number

pith:MWNXDKFG

pith:2017:MWNXDKFGLI6IVSOMZPKHTR552H

not attested not anchored not stored refs pending

Lattice-ordered groups generated by an ordered group and regular systems of ideals

Henri Lombardi, Stefan Neuwirth, Thierry Coquand

arxiv:1701.05115 v3 · 2017-01-17 · math.LO · math.AC · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MWNXDKFGLI6IVSOMZPKHTR552H}

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	2026-05-18T00:02:18.563116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

659b71a8a65a3c8ac9cccbd479c7bdd1e51154f7c5e2c77c1974354bc98715cd

Aliases

arxiv: 1701.05115 · arxiv_version: 1701.05115v3 · doi: 10.48550/arxiv.1701.05115 · pith_short_12: MWNXDKFGLI6I · pith_short_16: MWNXDKFGLI6IVSOM · pith_short_8: MWNXDKFG

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/MWNXDKFGLI6IVSOMZPKHTR552H \
  | 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: 659b71a8a65a3c8ac9cccbd479c7bdd1e51154f7c5e2c77c1974354bc98715cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9709f14f2291cd3e892f754fbb2e0433ffa9de726f3f358d178ff75304dd599",
    "cross_cats_sorted": [
      "math.AC",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-01-17T07:54:00Z",
    "title_canon_sha256": "05ac3cf22891b0070e31523959f9f23abe9378ac5855ed793eee0968994a9b9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05115",
    "kind": "arxiv",
    "version": 3
  }
}