Pith Number

pith:UBI5QDT3

pith:2010:UBI5QDT3D3WBG3G2JXZP2SDN7W

not attested not anchored not stored refs pending

On the Monadic Second-Order Transduction Hierarchy

Achim Blumensath, Bruno Courcelle

arxiv:1004.4777 v4 · 2010-04-27 · 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{UBI5QDT3D3WBG3G2JXZP2SDN7W}

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	2026-05-18T01:37:40.129297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a051d80e7b1eec136cda4df2fd486dfd9f9e03963c2f4808df2cbaab04a8bb46

Aliases

arxiv: 1004.4777 · arxiv_version: 1004.4777v4 · doi: 10.48550/arxiv.1004.4777 · pith_short_12: UBI5QDT3D3WB · pith_short_16: UBI5QDT3D3WBG3G2 · pith_short_8: UBI5QDT3

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/UBI5QDT3D3WBG3G2JXZP2SDN7W \
  | 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: a051d80e7b1eec136cda4df2fd486dfd9f9e03963c2f4808df2cbaab04a8bb46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29154f80e23480e8763980f21aca90b805c9468bf8f9ba8187a0acb78701973e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-04-27T12:20:53Z",
    "title_canon_sha256": "016599a8f77484462b9ced9ea158bb7d658d0e6979c474e17649848aba8d0031"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4777",
    "kind": "arxiv",
    "version": 4
  }
}