Pith Number

pith:OJ3Y2QBL

pith:2026:OJ3Y2QBL6NECEEAIOHANIE5PUP

not attested not anchored not stored refs pending

Trace definability IV: higher arity notions

Erik Walsberg

arxiv:2605.19513 v1 · 2026-05-19 · 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{OJ3Y2QBL6NECEEAIOHANIE5PUP}

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	2026-05-20T01:05:49.414369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72778d402bf34822100871c0d413afa3dc56a7097f2aa1db7fa763e22ffe6f06

Aliases

arxiv: 2605.19513 · arxiv_version: 2605.19513v1 · doi: 10.48550/arxiv.2605.19513 · pith_short_12: OJ3Y2QBL6NEC · pith_short_16: OJ3Y2QBL6NECEEAI · pith_short_8: OJ3Y2QBL

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/OJ3Y2QBL6NECEEAIOHANIE5PUP \
  | 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: 72778d402bf34822100871c0d413afa3dc56a7097f2aa1db7fa763e22ffe6f06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97331d3c8702c067574863a5576476d029aeb295ba93bcb807419ce1d9a2e253",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-05-19T08:11:43Z",
    "title_canon_sha256": "79d00f77f909974858af1c75d5e1e7c64ef60306cc90a8666fcf68e23619e542"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19513",
    "kind": "arxiv",
    "version": 1
  }
}