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Pith Number

pith:ZRLWUX7Q

pith:2012:ZRLWUX7QDE5IWRZ77B52FLSO3B
not attested not anchored not stored refs pending

A study of I-functions of two variables

Arjun K. Rathie, Shantha Kumari. K., Vasudevan Nambisan T.M.

arxiv:1212.6717 v1 · 2012-12-30 · math.CV

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZRLWUX7QDE5IWRZ77B52FLSO3B}

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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 2026-05-18T03:37:31.109477Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cc576a5ff0193a8b473ff87ba2ae4ed878e705835f567af048e5db2170cd34b6

Aliases

arxiv: 1212.6717 · arxiv_version: 1212.6717v1 · doi: 10.48550/arxiv.1212.6717 · pith_short_12: ZRLWUX7QDE5I · pith_short_16: ZRLWUX7QDE5IWRZ7 · pith_short_8: ZRLWUX7Q
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZRLWUX7QDE5IWRZ77B52FLSO3B \
  | 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: cc576a5ff0193a8b473ff87ba2ae4ed878e705835f567af048e5db2170cd34b6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9c8ee06d491254bbacf17d01b878f35a719fa9fa33ae8b6709240d1b5b279a9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-12-30T13:32:34Z",
    "title_canon_sha256": "b03db564d40069ef26f7c55fee62738167189a76c6af6f30ca335cffe014abb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6717",
    "kind": "arxiv",
    "version": 1
  }
}