Pith Number

pith:WDNNADS4

pith:2013:WDNNADS44B6RL6STOZNNNCVNUD

not attested not anchored not stored refs pending

On Elementary Theories of Ordinal Notation Systems based on Reflection Principles

Fedor Pakhomov

arxiv:1312.3002 v1 · 2013-12-11 · 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{WDNNADS44B6RL6STOZNNNCVNUD}

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	2026-05-18T03:05:00.790955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0dad00e5ce07d15fa53765ad68aada0d7de7e44b42e13bb9921578f9fe542cd

Aliases

arxiv: 1312.3002 · arxiv_version: 1312.3002v1 · doi: 10.48550/arxiv.1312.3002 · pith_short_12: WDNNADS44B6R · pith_short_16: WDNNADS44B6RL6ST · pith_short_8: WDNNADS4

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/WDNNADS44B6RL6STOZNNNCVNUD \
  | 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: b0dad00e5ce07d15fa53765ad68aada0d7de7e44b42e13bb9921578f9fe542cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebb741ecb7efb73ae08bae021e62c071dab2aa8623dbe440dcd77bb123b945ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-12-11T00:10:10Z",
    "title_canon_sha256": "0dead2dbd35be630d1303e076eabaf05aac3089c2e3ea089407a6c2e18ac49d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3002",
    "kind": "arxiv",
    "version": 1
  }
}