Pith Number

pith:P2NTO6OU

pith:2017:P2NTO6OUIAA75AATNEYVEXYMUV

not attested not anchored not stored refs pending

A Baer-Krull theorem for quasi-ordered groups

Gabriel Leh\'ericy, Salma Kuhlmann

arxiv:1701.05827 v4 · 2017-01-20 · 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{P2NTO6OUIAA75AATNEYVEXYMUV}

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	2026-05-18T00:02:18.557178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e9b3779d44001fe80136931525f0ca55286ea25130026f31442a1ecc41691dc

Aliases

arxiv: 1701.05827 · arxiv_version: 1701.05827v4 · doi: 10.48550/arxiv.1701.05827 · pith_short_12: P2NTO6OUIAA7 · pith_short_16: P2NTO6OUIAA75AAT · pith_short_8: P2NTO6OU

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/P2NTO6OUIAA75AATNEYVEXYMUV \
  | 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: 7e9b3779d44001fe80136931525f0ca55286ea25130026f31442a1ecc41691dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a38685c8f1db13cbf2b7101b8e73a5749878dd46510d49fd908259da0d75cd48",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-01-20T15:35:32Z",
    "title_canon_sha256": "5b4face96963fea71fd58a0070e6943a12e07645ec5ebe532553866327f864dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05827",
    "kind": "arxiv",
    "version": 4
  }
}