Pith Number

pith:BHM3UDZJ

pith:2016:BHM3UDZJNFN7UV3RF4JVPIIQIF

not attested not anchored not stored refs pending

Every linear order isomorphic to its cube is isomorphic to its square

Garrett Ervin

arxiv:1609.07872 v1 · 2016-09-26 · 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{BHM3UDZJNFN7UV3RF4JVPIIQIF}

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	2026-05-18T01:03:55.179711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09d9ba0f29695bfa57712f1357a1104174fc4d5432e1e8617144bdcbe8b71803

Aliases

arxiv: 1609.07872 · arxiv_version: 1609.07872v1 · doi: 10.48550/arxiv.1609.07872 · pith_short_12: BHM3UDZJNFN7 · pith_short_16: BHM3UDZJNFN7UV3R · pith_short_8: BHM3UDZJ

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/BHM3UDZJNFN7UV3RF4JVPIIQIF \
  | 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: 09d9ba0f29695bfa57712f1357a1104174fc4d5432e1e8617144bdcbe8b71803

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "603ce54ed53edc3d4ba367d83de9236474ed4779015ca9cb56ed7c7a6d0ed08a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-09-26T07:20:10Z",
    "title_canon_sha256": "8779e3be7c87529caf1e4cdb073422780677c8b42c0cce5b584ae7e00be757d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07872",
    "kind": "arxiv",
    "version": 1
  }
}