Pith Number

pith:SV4U2DKW

pith:2014:SV4U2DKWU5RI6E5MDH5LZXNNGX

not attested not anchored not stored refs pending

An order-theoretic characterization of the Howard-Bachmann-hierarchy

Andreas Weiermann, Jeroen Van der Meeren, Michael Rathjen

arxiv:1411.4481 v2 · 2014-11-17 · 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{SV4U2DKWU5RI6E5MDH5LZXNNGX}

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	2026-05-18T02:30:07.722187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95794d0d56a7628f13ac19fabcddad35c53876f35a4dd59d8bbd3522b940c7ec

Aliases

arxiv: 1411.4481 · arxiv_version: 1411.4481v2 · doi: 10.48550/arxiv.1411.4481 · pith_short_12: SV4U2DKWU5RI · pith_short_16: SV4U2DKWU5RI6E5M · pith_short_8: SV4U2DKW

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/SV4U2DKWU5RI6E5MDH5LZXNNGX \
  | 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: 95794d0d56a7628f13ac19fabcddad35c53876f35a4dd59d8bbd3522b940c7ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "456e516cc5a55e258a59ac567f6a378f5e4427992763ab7061bccb07b7d1f582",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-11-17T14:07:06Z",
    "title_canon_sha256": "1633fb29277ad158effcf4df6c9e36e4ed90d464d1c8f434ca1c713cb24dcd6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4481",
    "kind": "arxiv",
    "version": 2
  }
}