Pith Number

pith:KE6RNFDW

pith:2016:KE6RNFDWO2YS4LWMZKSKR44HDV

not attested not anchored not stored refs pending

A cohomological criterion for $p$-solvability

Joan Tent, Jon Gonz\'alez-S\'anchez

arxiv:1606.02227 v1 · 2016-06-07 · 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{KE6RNFDWO2YS4LWMZKSKR44HDV}

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	2026-05-18T01:12:44.430186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

513d16947676b12e2ecccaa4a8f3871d6bfafeb8372f1ba1e33024cbbc092ddf

Aliases

arxiv: 1606.02227 · arxiv_version: 1606.02227v1 · doi: 10.48550/arxiv.1606.02227 · pith_short_12: KE6RNFDWO2YS · pith_short_16: KE6RNFDWO2YS4LWM · pith_short_8: KE6RNFDW

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/KE6RNFDWO2YS4LWMZKSKR44HDV \
  | 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: 513d16947676b12e2ecccaa4a8f3871d6bfafeb8372f1ba1e33024cbbc092ddf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0203fc79e6e0aa653e43c3c7d42c056a965940d25ff36cfcee5841fa9a2746a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-06-07T17:36:49Z",
    "title_canon_sha256": "31dd811c79d67e5a1893fdf4e6ff6dadd4c065457256c76c05e00c1f117057a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02227",
    "kind": "arxiv",
    "version": 1
  }
}