Pith Number

pith:ZT4JDCZS

pith:2010:ZT4JDCZSCT6ANZK7GSWLREHKJC

not attested not anchored not stored refs pending

Linear Orderings and Powers of Characterizable Cardinal

Ioannis Souldatos

arxiv:1012.3405 v1 · 2010-12-15 · math.LO · math.GM · math.GN

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZT4JDCZSCT6ANZK7GSWLREHKJC}

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	2026-05-18T03:56:24.341096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccf8918b3214fc06e55f34acb890ea48bc0fd9d24ec22f66a91addcb8b2d47ae

Aliases

arxiv: 1012.3405 · arxiv_version: 1012.3405v1 · doi: 10.48550/arxiv.1012.3405 · pith_short_12: ZT4JDCZSCT6A · pith_short_16: ZT4JDCZSCT6ANZK7 · pith_short_8: ZT4JDCZS

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/ZT4JDCZSCT6ANZK7GSWLREHKJC \
  | 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: ccf8918b3214fc06e55f34acb890ea48bc0fd9d24ec22f66a91addcb8b2d47ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d8cc17e1013319313041e9bdad6ffec0fce02644dcfb1587709315d759b5b5a",
    "cross_cats_sorted": [
      "math.GM",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-12-15T17:58:48Z",
    "title_canon_sha256": "33e6a058008c38d32597a3b277b7748634ad27a6dc6576cb0c196bec5adb8c4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3405",
    "kind": "arxiv",
    "version": 1
  }
}