Pith Number

pith:XFVAWC32

pith:2022:XFVAWC32X6GGR4FR2UTQYJ7AXF

not attested not anchored not stored refs pending

Determinacy and reflection principles in second-order arithmetic

Keita Yokoyama, Leonardo Pacheco

arxiv:2209.04082 v2 · 2022-09-09 · 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{XFVAWC32X6GGR4FR2UTQYJ7AXF}

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.

Cited by

2 papers in Pith

The reverse mathematics of the Ordered Variable Word theorem

Receipt and verification

First computed	2026-07-05T06:11:42.641255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b96a0b0b7abf8c68f0b1d5270c27e0b94aea3773b2a8d8b98618d04637f603f8

Aliases

arxiv: 2209.04082 · arxiv_version: 2209.04082v2 · doi: 10.48550/arxiv.2209.04082 · pith_short_12: XFVAWC32X6GG · pith_short_16: XFVAWC32X6GGR4FR · pith_short_8: XFVAWC32

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/XFVAWC32X6GGR4FR2UTQYJ7AXF \
  | 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: b96a0b0b7abf8c68f0b1d5270c27e0b94aea3773b2a8d8b98618d04637f603f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ab57bb32b24eb282b0cf423edaa851e3d49dc2327c624174c1f726459cb3fab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2022-09-09T01:56:01Z",
    "title_canon_sha256": "938607a8f9287781870de31255cfa2405913918324c604bd8af82d1ea44b941f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.04082",
    "kind": "arxiv",
    "version": 2
  }
}