Pith Number

pith:OOLNDWR6

pith:2018:OOLNDWR6OMJJ2EMLS2EYRURR2B

not attested not anchored not stored refs pending

Some lower bounds on Shelah rank in the free group

Chlo\'e Perin, Javier de la Nuez Gonz\'alez, Rizos Sklinos

arxiv:1812.04468 v1 · 2018-12-11 · 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{OOLNDWR6OMJJ2EMLS2EYRURR2B}

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	2026-05-17T23:58:31.976444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7396d1da3e73129d118b968988d231d044ac38406d93a8deaa8909ad0b7d1ab0

Aliases

arxiv: 1812.04468 · arxiv_version: 1812.04468v1 · doi: 10.48550/arxiv.1812.04468 · pith_short_12: OOLNDWR6OMJJ · pith_short_16: OOLNDWR6OMJJ2EML · pith_short_8: OOLNDWR6

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/OOLNDWR6OMJJ2EMLS2EYRURR2B \
  | 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: 7396d1da3e73129d118b968988d231d044ac38406d93a8deaa8909ad0b7d1ab0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f36782ce0da4bf7ca0fa38ac2378239402ea6c9c18607a3dcd8ef1a3a4cf9b29",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-12-11T15:30:12Z",
    "title_canon_sha256": "7fc51bffb78a19e173d36a2728651cf1b69a9778eb91bff8b2fca7a168fe2d71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04468",
    "kind": "arxiv",
    "version": 1
  }
}