Pith Number

pith:FW6OQSJP

pith:2018:FW6OQSJPY5XPWBCPHY3E2BLGVE

not attested not anchored not stored refs pending

Proof-theoretic strengths of the well ordering principles

Toshiyasu Arai

arxiv:1811.09964 v7 · 2018-11-25 · 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{FW6OQSJPY5XPWBCPHY3E2BLGVE}

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	2026-05-17T23:45:46.555369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dbce8492fc76efb044f3e364d0566a916a7b70f3cec0ebb8eb988fefaec76c8

Aliases

arxiv: 1811.09964 · arxiv_version: 1811.09964v7 · doi: 10.48550/arxiv.1811.09964 · pith_short_12: FW6OQSJPY5XP · pith_short_16: FW6OQSJPY5XPWBCP · pith_short_8: FW6OQSJP

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/FW6OQSJPY5XPWBCPHY3E2BLGVE \
  | 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: 2dbce8492fc76efb044f3e364d0566a916a7b70f3cec0ebb8eb988fefaec76c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd195df81a8125150f6947664660fcea53152d726eafd1893395fa56accea639",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-11-25T06:45:17Z",
    "title_canon_sha256": "779cd89a15ea43224cb55c4341d9ebb7fcf08d09a7a384a3d1f944792eec24d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09964",
    "kind": "arxiv",
    "version": 7
  }
}