Pith Number

pith:J3HVUTQV

pith:2026:J3HVUTQVQBR72FGP5AQAZW4FAH

not attested not anchored not stored refs pending

Cyclic proofs in the equational version of Primitive recursive arithmetic

Daniyar Shamkanov

arxiv:2606.07166 v1 · 2026-06-05 · 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{J3HVUTQVQBR72FGP5AQAZW4FAH}

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	2026-06-08T01:04:50.326497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ecf5a4e158063fd14cfe8200cdb8501eed97c247fff445ae7e6a3840ecb1c7c

Aliases

arxiv: 2606.07166 · arxiv_version: 2606.07166v1 · doi: 10.48550/arxiv.2606.07166 · pith_short_12: J3HVUTQVQBR7 · pith_short_16: J3HVUTQVQBR72FGP · pith_short_8: J3HVUTQV

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/J3HVUTQVQBR72FGP5AQAZW4FAH \
  | 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: 4ecf5a4e158063fd14cfe8200cdb8501eed97c247fff445ae7e6a3840ecb1c7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d9330fbe6e419d4e5e4da76b9f31fcc6b837d0596b172b4083990ac756e8f13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-06-05T11:35:20Z",
    "title_canon_sha256": "102945fa049c1961a7070aabf3a3891c139bc3091e88131538201a60e1b3d851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07166",
    "kind": "arxiv",
    "version": 1
  }
}