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Pith Number

pith:EL3SV4QN

pith:2018:EL3SV4QNDH6JS5F3NFEY4XMNY2
not attested not anchored not stored refs pending

A note on the folklore of free independence

Arijit Chakrabarty, Rajat Subhra Hazra, Sukrit Chakraborty

arxiv:1802.00952 v1 · 2018-02-03 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EL3SV4QNDH6JS5F3NFEY4XMNY2}

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 2026-05-18T00:24:27.770961Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

22f72af20d19fc9974bb69498e5d8dc6901090737e9aad0a94dcdd4e9525ada3

Aliases

arxiv: 1802.00952 · arxiv_version: 1802.00952v1 · doi: 10.48550/arxiv.1802.00952 · pith_short_12: EL3SV4QNDH6J · pith_short_16: EL3SV4QNDH6JS5F3 · pith_short_8: EL3SV4QN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EL3SV4QNDH6JS5F3NFEY4XMNY2 \
  | 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: 22f72af20d19fc9974bb69498e5d8dc6901090737e9aad0a94dcdd4e9525ada3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e87abc2954b4ef838f41bf3a024fc762ae35bbab2ce7ca3f107cee5ac88a9063",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-02-03T10:43:29Z",
    "title_canon_sha256": "3277b136bb20158cbd379690236580ba7f6af85390d033ad9ca1ae48fe566868"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.00952",
    "kind": "arxiv",
    "version": 1
  }
}