Pith Number

pith:AFS6NTTS

pith:2018:AFS6NTTSU3QADMRXFDVKLLCL4I

not attested not anchored not stored refs pending

The isomorphism problem for tree-automatic ordinals with addition

Bakhadyr Khoussainov, Frank Stephan, Philipp Schlicht, Sanjay Jain

arxiv:1810.13153 v2 · 2018-10-31 · cs.FL · 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{AFS6NTTSU3QADMRXFDVKLLCL4I}

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	2026-05-17T23:50:48.782852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0165e6ce72a6e001b23728eaa5ac4be21299de359deacd5304549cc5edb8a466

Aliases

arxiv: 1810.13153 · arxiv_version: 1810.13153v2 · doi: 10.48550/arxiv.1810.13153 · pith_short_12: AFS6NTTSU3QA · pith_short_16: AFS6NTTSU3QADMRX · pith_short_8: AFS6NTTS

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/AFS6NTTSU3QADMRXFDVKLLCL4I \
  | 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: 0165e6ce72a6e001b23728eaa5ac4be21299de359deacd5304549cc5edb8a466

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e1a335c687b9748b29c5ca9bca39eadc3378fa13fb7ffd1b15d4d1506f8d5b9",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2018-10-31T08:34:37Z",
    "title_canon_sha256": "0b6f3129cc0f51efb0ebcccf08cfd5df08088491c11b6ec7a7ecc5fc2f815fbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.13153",
    "kind": "arxiv",
    "version": 2
  }
}