Pith Number

pith:CQZ6NR4V

pith:2015:CQZ6NR4VFSOATIPTEPTRINQ72A

not attested not anchored not stored refs pending

Squares and narrow systems

Chris Lambie-Hanson

arxiv:1510.04067 v2 · 2015-10-14 · 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{CQZ6NR4VFSOATIPTEPTRINQ72A}

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	2026-05-18T00:46:32.128489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1433e6c7952c9c09a1f323e714361fd01a6677cc6aad3d3454d743041b01be65

Aliases

arxiv: 1510.04067 · arxiv_version: 1510.04067v2 · doi: 10.48550/arxiv.1510.04067 · pith_short_12: CQZ6NR4VFSOA · pith_short_16: CQZ6NR4VFSOATIPT · pith_short_8: CQZ6NR4V

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/CQZ6NR4VFSOATIPTEPTRINQ72A \
  | 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: 1433e6c7952c9c09a1f323e714361fd01a6677cc6aad3d3454d743041b01be65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "389b303928bbb834ad8d788d80400a912276feedbdb1e28ef7d1bd72cf3377c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-10-14T12:50:37Z",
    "title_canon_sha256": "63b52196186da0c9255fa2b22ab7efce6125f40ea6678e11041736dbfe73da3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04067",
    "kind": "arxiv",
    "version": 2
  }
}