Pith Number

pith:4PVGX6QT

pith:2018:4PVGX6QTLWWRZZ5QQQFDEQB2A7

not attested not anchored not stored refs pending

Almost homomorphisms between the Boolean cube and groups of prime order

Tom Sanders

arxiv:1804.03192 v2 · 2018-04-09 · 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{4PVGX6QTLWWRZZ5QQQFDEQB2A7}

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	2026-05-18T00:01:43.570661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3ea6bfa135dad1ce7b0840a32403a07ec95132535f04e019900a9d8974233a9

Aliases

arxiv: 1804.03192 · arxiv_version: 1804.03192v2 · doi: 10.48550/arxiv.1804.03192 · pith_short_12: 4PVGX6QTLWWR · pith_short_16: 4PVGX6QTLWWRZZ5Q · pith_short_8: 4PVGX6QT

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/4PVGX6QTLWWRZZ5QQQFDEQB2A7 \
  | 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: e3ea6bfa135dad1ce7b0840a32403a07ec95132535f04e019900a9d8974233a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22ba393a0208616bac5811df2e533a8c529b401a4c8b2cd1714f35cdd12a77b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-09T19:18:44Z",
    "title_canon_sha256": "194f877e9c43fa6fcfa2c876ccabbc055c6964633c092a3e181c17b638a047e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03192",
    "kind": "arxiv",
    "version": 2
  }
}