Pith Number

pith:7T22GH6N

pith:2016:7T22GH6NFOVQLUHZ7HJQ2V2BSY

not attested not anchored not stored refs pending

A note on $\mathbb{Z}$ as a direct summand of nonstandard models of weak systems of arithmetic

Merlin Carl

arxiv:1605.09222 v1 · 2016-05-30 · 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{7T22GH6NFOVQLUHZ7HJQ2V2BSY}

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	2026-05-18T01:13:21.659963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcf5a31fcd2bab05d0f9f9d30d5741962f761ace0961cb938a23bcffde5f84cb

Aliases

arxiv: 1605.09222 · arxiv_version: 1605.09222v1 · doi: 10.48550/arxiv.1605.09222 · pith_short_12: 7T22GH6NFOVQ · pith_short_16: 7T22GH6NFOVQLUHZ · pith_short_8: 7T22GH6N

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/7T22GH6NFOVQLUHZ7HJQ2V2BSY \
  | 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: fcf5a31fcd2bab05d0f9f9d30d5741962f761ace0961cb938a23bcffde5f84cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b9d0a36b847e11c9b451afd117ec56b0087d8a178bbc91db497b6ea81de0ec6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-05-30T13:32:02Z",
    "title_canon_sha256": "752a6dc8550b27bf03760638c2ef3ce7a32249eeee5b5bb9005a5ba3eea3523e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09222",
    "kind": "arxiv",
    "version": 1
  }
}