Pith Number

pith:5CDGHHVY

pith:2016:5CDGHHVYDE5L5M4NHQTE4VMYUG

not attested not anchored not stored refs pending

Restricted invertibility revisited

Assaf Naor, Pierre Youssef

arxiv:1601.00948 v2 · 2016-01-05 · math.FA · math.OA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5CDGHHVYDE5L5M4NHQTE4VMYUG}

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	2026-05-18T00:56:38.047384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e886639eb8193abeb38d3c264e5598a1a7269a4a2159f0da3992fb7557032214

Aliases

arxiv: 1601.00948 · arxiv_version: 1601.00948v2 · doi: 10.48550/arxiv.1601.00948 · pith_short_12: 5CDGHHVYDE5L · pith_short_16: 5CDGHHVYDE5L5M4N · pith_short_8: 5CDGHHVY

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/5CDGHHVYDE5L5M4NHQTE4VMYUG \
  | 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: e886639eb8193abeb38d3c264e5598a1a7269a4a2159f0da3992fb7557032214

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dde3c310c2755be4f280188678a6acf6950a3d77fea2a398c1fd8b610fb3c5c",
    "cross_cats_sorted": [
      "math.OA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-01-05T20:00:08Z",
    "title_canon_sha256": "ef5a8d7203aefe97481ba88500fef5375538f720c9e3dfc62059ad9ac251a78e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00948",
    "kind": "arxiv",
    "version": 2
  }
}