Pith Number

pith:CAUKERPE

pith:2018:CAUKERPEKBBRRGJYFE5L5NNYZZ

not attested not anchored not stored refs pending

On Dividing by Two in Constructive Mathematics

Andrew Swan

arxiv:1804.04490 v1 · 2018-04-12 · math.LO · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CAUKERPEKBBRRGJYFE5L5NNYZZ}

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	2026-05-18T00:18:37.390083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1028a245e45043189938293abeb5b8ce41e9a4a9d7951bed711e357ec9359253

Aliases

arxiv: 1804.04490 · arxiv_version: 1804.04490v1 · doi: 10.48550/arxiv.1804.04490 · pith_short_12: CAUKERPEKBBR · pith_short_16: CAUKERPEKBBRRGJY · pith_short_8: CAUKERPE

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/CAUKERPEKBBRRGJYFE5L5NNYZZ \
  | 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: 1028a245e45043189938293abeb5b8ce41e9a4a9d7951bed711e357ec9359253

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "330266ffe29d7daef242eb19b212934e12301416df921a2b1783f8f1a444972a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-04-12T13:21:12Z",
    "title_canon_sha256": "fed54ba40fcf9ff5e09cf9f10c025e0adba3d70099c6477bb9409ef911c5013a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.04490",
    "kind": "arxiv",
    "version": 1
  }
}