Pith Number

pith:UL6ZHSKH

pith:2012:UL6ZHSKHRRRBQ2AMDPKPZBJRR3

not attested not anchored not stored refs pending

Free groups and automorphism groups of infinite fields

Philipp L\"ucke, Saharon Shelah

arxiv:1211.6891 v3 · 2012-11-29 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UL6ZHSKHRRRBQ2AMDPKPZBJRR3}

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	2026-05-18T03:36:06.120173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2fd93c9478c6218680c1bd4fc85318ecffdef21e110d118359d4515cd9dcedf

Aliases

arxiv: 1211.6891 · arxiv_version: 1211.6891v3 · doi: 10.48550/arxiv.1211.6891 · pith_short_12: UL6ZHSKHRRRB · pith_short_16: UL6ZHSKHRRRBQ2AM · pith_short_8: UL6ZHSKH

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/UL6ZHSKHRRRBQ2AMDPKPZBJRR3 \
  | 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: a2fd93c9478c6218680c1bd4fc85318ecffdef21e110d118359d4515cd9dcedf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73727ed3ff8e46f1afbddf377d62867a7f754031fa9b8dd3f02242156b2e6c47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-11-29T11:58:41Z",
    "title_canon_sha256": "fdfb9d994f78ef9bb59db6fb468feae2fbef280e40bbbc15e5e9caa4741d9645"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6891",
    "kind": "arxiv",
    "version": 3
  }
}