Pith Number

pith:OJRZR3HF

pith:2013:OJRZR3HF4TIFYGOOZWZUF63S6P

not attested not anchored not stored refs pending

Countable subgroups of Euclidean Space

Arnold W. Miller

arxiv:1305.5234 v1 · 2013-05-22 · 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{OJRZR3HF4TIFYGOOZWZUF63S6P}

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	2026-05-18T03:25:06.462623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

726398ece5e4d05c19cecdb342fb72f3c5fb2e4e400e422b3e29ec95730b33d3

Aliases

arxiv: 1305.5234 · arxiv_version: 1305.5234v1 · doi: 10.48550/arxiv.1305.5234 · pith_short_12: OJRZR3HF4TIF · pith_short_16: OJRZR3HF4TIFYGOO · pith_short_8: OJRZR3HF

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/OJRZR3HF4TIFYGOOZWZUF63S6P \
  | 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: 726398ece5e4d05c19cecdb342fb72f3c5fb2e4e400e422b3e29ec95730b33d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fff934a33efdf5f9a60a418f395c2674f754a507ef23874261a33d273c78303",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-05-22T19:09:45Z",
    "title_canon_sha256": "1c0f7d24c7431e723b634c05be69c32e82307718312ca69010b156967c1f3ff2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5234",
    "kind": "arxiv",
    "version": 1
  }
}