Pith Number

pith:RJCUSYUU

pith:2018:RJCUSYUU44O3MMKF23IMSXIFOY

not attested not anchored not stored refs pending

Sets of integers determined by operator-theoretical properties: Jamison and Kazhdan sets in the group $\mathbb{Z}$

Catalin Badea, Sophie Grivaux

arxiv:1804.01363 v1 · 2018-04-04 · math.FA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJCUSYUU44O3MMKF23IMSXIFOY}

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	2026-05-18T00:14:21.500757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a45496294e71db63145d6d0c95d057606b489aeb3d50a82c1835110835daebb

Aliases

arxiv: 1804.01363 · arxiv_version: 1804.01363v1 · doi: 10.48550/arxiv.1804.01363 · pith_short_12: RJCUSYUU44O3 · pith_short_16: RJCUSYUU44O3MMKF · pith_short_8: RJCUSYUU

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/RJCUSYUU44O3MMKF23IMSXIFOY \
  | 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: 8a45496294e71db63145d6d0c95d057606b489aeb3d50a82c1835110835daebb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50637aa8f63a5c1491f1fc8de34bb79307a8b54a0fe4d0c77dd3968ca8a10be6",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-04-04T12:17:00Z",
    "title_canon_sha256": "496a0c78c3b51e1f8734a5c7b225cbd90940555320b8e33782cffff63bd65cf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01363",
    "kind": "arxiv",
    "version": 1
  }
}