Pith Number

pith:6FGSJAUX

pith:2016:6FGSJAUXASDUW3SVU3DVHMVEGY

not attested not anchored not stored refs pending

The free group has the dimensional order property

Anand Pillay, Rizos Sklinos

arxiv:1604.07034 v1 · 2016-04-24 · math.LO · 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{6FGSJAUXASDUW3SVU3DVHMVEGY}

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	2026-05-18T00:45:06.587436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f14d24829704874b6e55a6c753b2a436139141af744493ef5535e584bcf33988

Aliases

arxiv: 1604.07034 · arxiv_version: 1604.07034v1 · doi: 10.48550/arxiv.1604.07034 · pith_short_12: 6FGSJAUXASDU · pith_short_16: 6FGSJAUXASDUW3SV · pith_short_8: 6FGSJAUX

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/6FGSJAUXASDUW3SVU3DVHMVEGY \
  | 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: f14d24829704874b6e55a6c753b2a436139141af744493ef5535e584bcf33988

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcac2948876daab9b32230cca95de43d2c1e208390ceca2fc81d5b62d999db4b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-04-24T13:57:17Z",
    "title_canon_sha256": "1060c6969159af65b8785945162bc1a01249666c1a6935240ff85020891ba695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07034",
    "kind": "arxiv",
    "version": 1
  }
}