Pith Number

pith:K3XPXAHF

pith:2026:K3XPXAHFLWFWCTEPTC2VJ5EFDR

not attested not anchored not stored refs pending

Nonarchimedean groups and the axiom of choice

Jindrich Zapletal, Justin Young

arxiv:2606.23618 v1 · 2026-06-22 · 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{K3XPXAHFLWFWCTEPTC2VJ5EFDR}

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	2026-06-23T03:14:32.403940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56eefb80e55d8b614c8f98b554f4851c4c9d66f5bc54ecacfbe5f7ed391ba8ea

Aliases

arxiv: 2606.23618 · arxiv_version: 2606.23618v1 · doi: 10.48550/arxiv.2606.23618 · pith_short_12: K3XPXAHFLWFW · pith_short_16: K3XPXAHFLWFWCTEP · pith_short_8: K3XPXAHF

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/K3XPXAHFLWFWCTEPTC2VJ5EFDR \
  | 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: 56eefb80e55d8b614c8f98b554f4851c4c9d66f5bc54ecacfbe5f7ed391ba8ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9384be8caf51235090b70de335428582ae4f0eed87d4eed9f020e74e511e0d6b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-06-22T17:14:59Z",
    "title_canon_sha256": "04df0265e776a92d7de0c1d54a8014c769a7c18e78ddd5e1d718efc169903fea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23618",
    "kind": "arxiv",
    "version": 1
  }
}