Pith Number

pith:4BRLYKPZ

pith:2011:4BRLYKPZGSYK7RC23FMTIHRDJG

not attested not anchored not stored refs pending

On the second parameter of an $(m, p)$-isometry

Michael Mackey, M\'iche\'al \'O Searc\'oid, Philipp Hoffmann

arxiv:1106.0339 v6 · 2011-06-01 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4BRLYKPZGSYK7RC23FMTIHRDJG}

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	2026-05-18T01:22:54.536460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e062bc29f934b0afc45ad959341e2349978538c4d95991a579d766b70ccbe990

Aliases

arxiv: 1106.0339 · arxiv_version: 1106.0339v6 · doi: 10.48550/arxiv.1106.0339 · pith_short_12: 4BRLYKPZGSYK · pith_short_16: 4BRLYKPZGSYK7RC2 · pith_short_8: 4BRLYKPZ

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/4BRLYKPZGSYK7RC23FMTIHRDJG \
  | 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: e062bc29f934b0afc45ad959341e2349978538c4d95991a579d766b70ccbe990

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b68c841ae6b6136ad916c64ddd7bcea218b28bc54ba78a47d518e0a229ba4f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-06-01T23:29:02Z",
    "title_canon_sha256": "b3c67de4ac1b27ce795c3980ef766f8e419760f8dfd0c2e023903262505923cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0339",
    "kind": "arxiv",
    "version": 6
  }
}